International Conference on Differential Equations, Czecho-Slovak series, Comenius University, Bratislava, Slovakia, July 25 - 29, 2005

Scientific programme

There were 50-minute plenary talks, 25-minute invited talks in mini-symposia. Every registered participant could deliver a 15-minute contributed talk.

Scientific Programme (complete, PDF format)
Book of Abstracts (PDF format)
Information bulletin (PDF format)

Monday         Tuesday         Wednesday         Thursday         Friday


Monday

Plenary lectures

Herbert Amann: A new approach to quasilinear parabolic problems
Hiroshi Matano: Complete and incomplete blow-up in a nonlinear heat equation
Masayasu Mimura: Transient pattern formation in reaction-diffusion systems


Lecture room 1
Mini-symposium: On the Navier-Stokes flow with infinite energy
organized by: Y. Giga

Thierry Gallay: Convergence to equilibrium in two-dimensional viscous flows
Yasunori Maekawa: Large time behaviors of derivatives of the vorticity for the two dimensional Navier-Stokes flow
Jürgen Saal: A uniform geostrophic flow affected by rotation: the Ekman boundary layer problem
Yoshikazu Giga: The Navier-Stokes flow with almost periodic initial data

Contributed talks

Jörg Wolf: Interior regularity of weak solutions to the equations of motion of a class of non-Newtonian fluid
Milan Pokorný: On a new approximation scheme for the steady compressible Navier-Stokes equations
Miroslav Pošta: Optimal control of Navier-Stokes equations by Oseen approximation
Matthias Geissert: Strong Lp-solutions of Navier-Stokes equations in the exterior of a rotating obstacle
Arup Bhattacharjee: On the dynamics of multi-component heat-conducting incompressible plane flow with temperature dependent viscosity

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Lecture room 2
Mini-symposium: Rate independent processes and hysteresis
organized by: P. Krejčí

Alexander Mielke: Energetic formulation of hysteresis problems, existence and uniqueness
Dmitrii Rachinskii: Equations with inverse Preisach operator
Ulisse Stefanelli: Sweeping processes with monotonicity
Pavel Krejčí: Nonresonance and energy decay of oscillations in hysteretic media

Contributed talks

Petra Kordulová: An example of discontinuous solution for a quasilinear hyperbolic equation with hysteresis
Volker Reitmann: Convergence in evolutionary variational inequalities with hysteresis nonlinearities
Emil Minchev: On a system of nonlinear PDEs with hysteresis effect
Jana Kopfová: Entropy condition for a quasilinear hyperbolic equation with hysteresis

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Lecture room 3
Mini-symposium: Numerical software for PDEs
organized by: K. G. Siebert

Peter Böhm: Diffpack - A flexible development framework for the numerical modeling and solution of partial differential equations
Robert Klöfkorn: DUNE - Distributed and Unified Numerics Environment
Karsten Urban: FLENS - A Flexible Library for Efficient Numerical Solutions
Kunibert G. Siebert: Concepts of the finite element toolbox ALBERTA

Contributed talks

Joachim Rang: New Rosenbrock methods of order 3 for PDAEs of Index 2
Tomáš Oberhuber: On a numerical scheme for the Willmore flow
Anna Kepczynska: Implicit difference methods for first order partial differential functional quasilinear equations
Karolina Kropielnicka: Implicit difference methods for parabolic functional differential equations
Richard Liska: Arbitrary Lagrangian Eulerian method for compressible plasma simulations

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Lecture room 4
Mini-symposium: Applications of the calculus of variations
organized by: P. Rabinowitz

Massimiliano Berti: Nonlinear oscillations in Hamiltonian PDEs
Sergey Bolotin: Shadowing collision chains of the 3 body problem
Margherita Nolasco: Vortices for some self-dual gauge field models
Sławomir Rybicki: Periodic solutions of Hamiltonian system in a neighborhood of a degenerate rest point

Contributed talks

Norimichi Hirano: Mutiple existence of solutions for semilinear elliptic problems
Miroslav Krbec: Fefferman's inequality and related topics
Katarzyna Wojteczek: Second order Hardy type integral inequalities in different classes of functions
Ryuji Kajikiya: Symmetric mountain pass lemma and multiple solutions of sublinear elliptic equations
Radu Ignat: Energy expansion and vortex location for a 2D rotating Bose.Einstein condensate

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Lecture room 5
Mini-symposium: Qualitative studies of parabolic equations
organized by: P. Poláčik

Pavol Quittner: Liouville type theorems for superlinear parabolic equations and applications
Peter Poláčik: Asymptotic symmetry of positive solutions of parabolic equations: bounded domains reconsidered
Hirokazu Ninomiya: The influence of diffusion and boundary conditions on blowup
Yoshihisa Morita: Some entire solutions to reaction.diffusion equations with bistable nonlinearity

Contributed talks

Alexandre Carvalho: Compact convergence and continuity of attractors
Juraj Húska: Harnack inequality and exponential separation for oblique derivative problems on Lipschitz domains
JanW. Cholewa: Semilinear parabolic equations with critical nonlinearities
Aníbal Rodréguez-Bernal: Dissipative dynamics of reaction diffusion equations in RN
Cristina Marcelli: Finite speed of propagation in monostable degenerate reaction.diffusion.convection equations

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Lecture room 6
Mini-symposium: Perturbations in ODE
organized by: F. Dumortier, P. Szmolyan

Freddy Dumortier: Bifurcation of relaxation oscillations
Peter Szmolyan: Blow-up analysis of delayed Hopf bifurcations
Nikola Popovic: Evans functions and blow-up for degenerate shock waves
André Vanderbauwhede: Degenerate subharmonic bifurcation in reversible systems

Contributed talks

Tomoyuki Tanigawa: On oscillation of higher order nonlinear differential equations
Francesca Ceragioli: Switched systems, discontinuous ODEs and Zeno phenomenon
Casey Cremins: A semilinear Birkhoff.Kellogg theorem and application
Katrin Gelfert: Asymptotic behavior of bi-coupled slow-fast systems
Alexander Boichuk: A set of bounded solutions for perturbed differential and difference systems

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Lecture room 7
Mini-symposium: Nonlinear diffusion and motion of interfaces
organized by: M. Beneš

Michal Beneš: Quantitative aspects of microstructure formation in solidification
Tatsuyuki Nakaki: Approximations for some diffusion and interfaceproblems using singular limit technique
Kenji Tomoeda: The support re-splitting phenomemna caused by the interaction between diffusion and absorption
Yohei Kashima: A finite element approximation of the Bean critical state model for superconductivity in 3D

Contributed talks

José J. Miguel: Delay logistic model with control parameter
Ivan Mojsej: On third order advanced nonlinear differential equations
Lukáš Maňásek: On constructing a solution of a boundary value problem for functional differential equations
Petr Stehlík: On discrete boundary value problems
Ana M. Pedro: Oscillation and nonoscillation criteria for retarded functional differential equations

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Tuesday

Plenary lectures

John Mallet-Paret: Crystallographic pinning in lattice differential equations
Josephus Hulshof: Free boundary problems in combustion
Georg S. Weiss: The singular limit of a reaction.diffusion system arising in solid combustion


Lecture room 1
Mini-symposium: Evolution of crystalline interfaces
organized by: A. Chambolle

Yoshikazu Giga: An application of crystalline curvature to describe bunching phenomena
Piotr Rybka: The question of stability of facets of crystals growing from vapor
Matteo Novaga: Crystalline evolutions of convex sets
Antonin Chambolle: Approximation of the anisotropic or crystalline curvature flow

Contributed talks

Vera Miljanovic: On the Shockley-Read-Hall model: generation-recombination in semiconductors
Salvador Moll: A characterization of convex φ-calibrable sets in RN
Przemysław Górka: Evolution of crystals in three dimensions
Stephen J. Watson: The crystalline limit of the anisotropic Wilmore flow: coarsening dynamics and scaling laws
Richard Kollár: Stability of vortex solutions to nonlinear Schrödinger equations

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Lecture room 2
Mini-symposium: Asymptotic behaviour in fluid mechanics
organized by: G. Raugel

Dragos Iftimie: The small obstacle limit in a viscous incompressible flow
Genevieve Raugel:Perturbed Navier-Stokes equations
Grzegorz Karch: Smooth and singular solutions to the incompressible Navier-Stokes system
Andro Mikelic: Method of homogenization applied to dispersion, convection and reaction in porous media

Contributed talks

Yakov Goltser: About an appearance of stationary resonance regimes for nonlinear integro-differential equation
Josef Kalas: Asymptotic properties of a two-dimensional differential system with delay
Jaromír Kuben: Asymptotic equivalence of systems of difference equations
Petr Kundrát: On asymptotic properties of linear delay differential equation with a forcing term
Katarína Makovinyiova: On the existence of Hopf bifurcation in an Open Economy Model

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Lecture room 3
Mini-symposium: Patterns in reaction-diffusion systems
organized by: D. Hilhorst

Harald Garcke: Patterns in multicomponent alloy solidification
Cyrill Muratov: Traveling wave solutions and propagation phenomena in gradient reaction-diffusion systems
Isamu Ohnishi: To be announced
Danielle Hilhorst: Peak solutions in an elliptic chemotaxis-like system

Contributed talks

Lajos Lóczi: Discretizations of ODE's near some bifurcation points
Christian Pötzsche: Dynamics near attractive integral manifolds under discretization
Milan Kubíček: Complex dynamics of CO oxidation in catalytic converter
Martin Rasmussen: Morse Decompositions of nonautonomous dynamical systems
Pedro Lima: Numerical approximation of singular boundary value problems for a nonlinear differential equation

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Lecture room 4
Mini-symposium: Nonlinear elliptic systems, theory and applications
organized by: Ph. Souplet

Masayasu Mimura: Cross-diffusion systems in biology
Nikolaos M. Stavrakakis: Eigenvalue questions on some quasilinear elliptic problems
Boyan Sirakov: A priori estimates, monotonicity and Liouville theorems for nonvariational elliptic systems
Philippe Souplet: Nonlinear elliptic systems and Llp spaces

Contributed talks

Ángela Jiménez-Casas: Robin type conditions arising from concentrated potentials
Tsang-Hai Kuo: Some existence result to elliptic equations with semilinear coefficients
Oldřich John: Interior regularity for weak solutions of nonlinear second order elliptic and parabolic systems
Eugen Viszus: A remark on Morrey type regularity for nonlinear elliptic systems of second order
Niki Winter: W2,p-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations

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Lecture room 5
Mini-symposium: Nonlinear parabolic problems without conditions at infinity
organized by: A. Gladkov

Andrey E. Shishkov: Propagation of support in multidimensional higher order degenerate diffusion-convection equation
Alexander Gladkov: The Cauchy problem without growth restrictions on the data at infinity
Janos Englander: Uniqueness/nonuniqueness for positive solutions to a class of semilinear equations

Contributed talks

Dirk Blömker: Stochastic modulation equations
Lutz Recke: Local existence and uniqueness for quasilinear parabolic initial boundary value problems with nonsmooth data
Violaine Roussier-Michon: Asymptotic behaviour of travelling waves in a bistable reaction diffucion equation with respect to nonintegrable perturbations
Peter L. Simon: Evans function method for some combustion waves
Sebastian Meier: A distributed-microstructure model for diffusion and reaction in porous media

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Lecture room 6
Mini-symposium: Dynamical systems and applications
organized by: M. Fečkan

Jan Andres: Periodic solutions of dissipative systems revisited
Flaviano Battelli: Periodic solutions of symmetric elliptic singular systems
Andrzej Bielecki: Dynamical systems in artificial neural network
Barnabas M. Garay: Optimization and the Miranda theorem in detecting horseshoe-type chaos by computer

Contributed talks

Luisa Malaguti: Boundary value problems in Banach spaces: a bound sets approach
David Cheban: Invariant manifolds and almost automorphic solutions of second-order monotone equations
Clementa Alonso-González: Infinitesimal Poincaré's return for saddle-connections
Imre Bozi: Computing homoclinic orbits for maps with Bogdanov-Takens point

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Lecture room 7
Mini-symposium: Differential equations with p-Laplacian and related topics
organized by: O. Došlý

Gabriella Bognár: Some properties of the qualilinear analogues of the Hill's equation
Ondřej Došlý: Principal solution of half-linear second order differential equations
Norio Yoshida: Oscillation criteria for half-linear partial differential equations via Picone's identity
Hwai-chiuan Wang: On domains with its indexes

Contributed talks

Shin-Hwa Wang: Exact multiplicity of positive solutions of a p-Laplacian Dirichlet problem
Humberto Ramos Quoirin: A partial extension of the Courant nodal domain theorem to the p-laplacian
Satoshi Tanaka: Existence of solutions with prescribed numbers of zeros of two-point boundary value problems for the one-dimensional p-Laplacian
Jiří Benedikt: Quasilinear problems of the 2nth-order
Jan Čepička: Comparison of analytical and numerical results for the p-Laplace equation

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Wednesday

Plenary lectures

Eberhard Baensch: Finite element methods for free surface flow
Raphaele Herbin: Analysis tools for finite volume methods in PDEs
Martin Rumpf: Variational problems in image and surface matching

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Thursday

Plenary lectures

Paul Rabinowitz: Some aspects of an Aubry-Mather theory for PDE's
Laurent Véron: Capacitary estimates of solutions of semilinear parabolic equations
Pavel Drabek: The p-Laplacian - mascot of nonlinear analysis


Lecture room 1
Mini-symposium: Nonlinear parabolic equations, approximation using finite volume methods
organized by: R. Eymard

Juergen Fuhrmann: Finite volume schemes for nonlinear convection-diffusion problems based on local Dirichlet problems
Danielle Hilhorst: A combined finite volume-nonconforming finite element scheme for a degenerate parabolic equation
Karol Mikula: Finite volume methods in image processing
Robert Eymard: Finite volumes schemes for nonlinear parabolic problems: a regularization method

Contributed talks

Malte A. PeterDifferent scalings in homogenisation of reaction, diffusion and interfacial exchange in a two-phase medium
Aleš Matas: Existence, uniqueness and regularity of the solution of the String-Beam System
Rostislav Vodák:Asymptotic analysis of elastic curved rods
Jan Franců: Modeling of liquid flow in vaneless motors

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Lecture room 2
Mini-symposium: The Navier-Stokes flow past rotating obstacles
organized by: M. Hieber

Alex Mahalov: Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains
Sylvie Monniaux: Navier-Stokes equations in Lipschitz domains
Okihiro Sawada: Remarks on the incompressible Navier-Stokes flows for linearly growing initail data
Matthias Hieber: The Navier-Stokes flow in the exterior of a rotating obstacle

Contributed talks

Svetlana Ogorodnikova: Multiple solutions of nonlinear BVPs for equations with critical points
Inara Yermachenko: Multiple solutions of nonlinear BVPs by the quasilinearization process
Felix Sadyrbaev: On Nehari solutions
Luisa Morgado: Analytical-numerical approach to singular boundary value problems for an Emden/Fowler equation
Salvador Villegas: Optimal Lyapunov inequalities and applications to nonlinear problems

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Lecture room 3
Mini-symposium: Free energy driven equations for phase change problems
organized by: S. Luckhaus

Harald Garcke: Phase field models for surface diffusion
Dietmar Hömberg: On a thermomechanical model of surface heat treatments
Thomas Blesgen: On qualitative and quantitative mathematical models for diffusion induced segregation processes
Stephan Luckhaus: Nucleation of small balls for the Landau Ginzburg functional

Contributed talks

Alexander Domoshnitsky: Oscillation properties of functional equations in spaces of functions of several variables
Alejandro Vidal-López: Extremal equilibria for parabolic non-linear reaction.diffusion equations
Jose Sabina de Lis: Diffusion problems with bifurcation driven by the boundary conditions
Markus Lilli: Classical solutions for non-elliptic Euler.Lagrage equations via continuation
Petr Tomiczek: Saddle point theorem and Fredholm alternative

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Lecture room 4
Mini-symposium: Blow-up in nonlinear heat equations
organized by: H. Matano

Noriko Mizoguchi: Blowup problem for a supercritical heat equation
Philippe Souplet: Gradient blow-up and global existence for viscous Hamilton-Jacobi equations
José M. Arrieta: Blow up in reaction-diffusion equations with nonlinear boundary conditions
Michael Winkler: Optimal grow-up rate in a supercritical semilinear heat equation

Contributed talks

Marco Fontelos: Finite time singularities in transport equations with nonlocal velocities and fluxes
Mayte Pérez-Llanos: Numerical blow-up for the p-Laplacian equation with a source
Noriaki Umeda: On blow up at space infinity for semilinear heat equations
Uri Elias: Critical points at infinity and blow up of solutions of autonomous polynomial differential systems
Aurelian Cernea: Necessary optimality conditions for differential-difference inclusions via derived cones

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Lecture room 5
Mini-symposium: Dissipative higher order evolution equations
organized by: Giacomelli, Novick-Cohen

Günther Grün: Optimal lower bounds on waiting times for degenerate parabolic equations and systems
Dejan Slepčev: Coarsening in thin-film equations: upper bound on coarsening rate
John Barrett: Soluble surfactant spreading on a thin film
Amy Novick-Cohen:On a degenerate Allen-Cahn/Cahn-Hilliard system

Contributed talks

Maite Grau: On the stability of periodic orbits for differential systems in Rn
László Horváth: Special Bihari type integral inequalities
Milan Medved': Nonlinear integral inequalities with singular kernels and their applications
Petr Nečesal: The beam operator and the Fucik spectrum
Feliz Minhós: Lower and upper solutions method for a fully nonlinear elastic beam equation simply supported

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Lecture room 6
Mini-symposium: Delay differential equations
organized by: T. Krisztin

John Mallet-Paret: Singular State-Dependent Delay Equations: Asymptotics and Stability
Hans-Otto Walther: State-dependent delays, linearization, and periodic solutions
Mihály Pituk: A Perron type theorem for functional differential equations
Tibor Krisztin: Smooth invariant manifolds for state dependent FDEs

Contributed talks

Marcia Federson: Existence and impulsive stability for second order retarded differential equations
Bernát Slezák: On the noncontinuable solutions of retarded functional differential equations
Zdeňek Svoboda: Positive solutions of p-type retarded functional linear differential equations
Jozef Džurina: Asymptotic properties of third order differential equations with deviating arguments
Bernhard Lani-Wayda: Connecting orbits in analytical sine-like delay equations

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Lecture room 7
Mini-symposium: New trends for hyperbolic equations and systems
organized by: T. Gallouet

Raimund Bürger: Conservation laws and related equations with discontinuous flux modeling clarifier-thickener units
Miloslav Feistauer: Higher order methods for the numerical solution of the compressible Euler equations
Julien Vovelle: Conservation laws with flux with discontinuous coefficients: the question of uniqueness of solution
Thierry Gallouët: Numerical methods for hyperbolic systems with discontinuous coefficients or sources terms

Contributed talks

Nikolaos M. Stavrakakis: On some Klein-Gordon-Schrödinger type systems
Agata Gołaszewska: Carathéodory solutions to quasi-linear hyperbolic systems of partial differential equations with state dependent delays
Dalibor Pražák: A remark on characterization of entropy solutions using Colombeau's algebra of generalized functions
Tomasz Dlotko: Strongly damped wave equation in uniform spaces
Wojciech Czernous: Generalized solutions of mixed problems for first order partial functional differential equations

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Friday

Plenary lectures

Sergei Yakovenko: Hidden lattice structures and oscillatory behavior of systems of polynomial ordinary differential equations
Charlie Elliott: Finite elements and evolving surfaces
Alex Mahalov: Global regularity of the 3D Navier-Stokes equations with uniformly large initial vorticity


Lecture room 1
Mini-symposium: Navier-Stokes equations and related topics
organized by: E. Feireisl

Toshiaki Hishida: Stationary Navier-Stokes flows around a rotating obstacle
Yoshihiro Shibata: On the Stokes equation with Neumann boundary condition
Eduard Feireisl: On the mathematical theory of viscous, compressible, and heat conducting fluids
Reinhard Farwig: Suitable weak solutions of the Navier-Stokes equations in arbitrary unbounded domains

Contributed talks

Hyeong Ohk Bae: Temporal and spatial decay rates of Navier-Stokes solutions in an exterior domain
Šárka Nečasová: On the steady fall of a rigid body in linear viscous fluid
Duc Huy Nguyen: On the solvability of a class of stationary generalized Stokes problem

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Lecture room 2
Mini-symposium: Dynamics of patterns in nonlinear PDEs
organized by: B. Sandstede

Thierry Gallay: Existence and stability of asymmetric Burgers vortices
Hannes Uecker: Validity of amplitude equations for electro-convection in nematic liquid crystals
Björn Sandstede: Eigenvalues near the absolute spectrum of spiral waves
Karsten Matthies: Travelling waves in heterogenous media and exponential averaging

Contributed talks

Peter Rand: Asymptotic analysis of a nonlinear partial differential equation in a semicylinder
Dimitrios Kravvaritis: On a nonlinear evolution equation
Salah-Eddine Rebiai: Nonlinear boundary stabilization of the Schrödinger equation with variable coefficients

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Lecture room 3
Mini-symposium: Nonlinear parabolic problems: singular solutions
organized by: A. Shishkov

Manuela Chaves: On the growth rate of blowup solutions of somesemilinear and quasilinear equations of parabolictype
Sergey Shmarev: Elliptic equations with nonhomogeneous nonlinearity: existence and localization properties of solutions
Robert Kersner: Instantaneous extinction, step discontinuity and blow-up phenomena in reaction-diffusion theory
Andrey E. Shishkov: Higher order quasilinear parabolic equations with singular initial data

Contributed talks

László Simon: On non-uniformly parabolic functional differential equations
Niall Dodds: Spectral properties of non-local operators
Nikolaos M. Matzakos: Boundary value problems for strongly nonlinear differential inclusions

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Lecture room 4
Mini-symposium: Critical numerical issues for transport problems
organized by: J. Kačur

Vadym Aizinger: A discontinuous Galerkin method for flow and transport
Jozef Kačur: Solution of inverse problems in contaminant transport with adsorption
Peter Bastian: A monotone Eulerian-Lagrangian localized adjoint scheme for convection-dominated transport
Peter Frolkovič: High-resolution finite volume methods for advection equations on general grids

Contributed talks

Josef Dalík: Numerical modelling of the simultaneous heat and moisture transport in porous media
Hideki Murakawa: On a linear approximation scheme to the classical Stefan problem
Jiří Vala: On a numerical model of phase transformation in substitutional alloys

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Lecture room 5
Mini-symposium: Qualitative properties of solutions to PDEs
organized by: B. Kawohl

Rolando Magnanini: Stationary isothermic surfaces
Thomas Bartsch: Nodal solutions of semilinear elliptic equations
Bernd Kawohl: Overdetermined problems and the p-Laplacian
Enzo Vitillaro: Heat equation with dynamical boundary conditions of reactive type

Contributed talks

J. Ignacio Tello: On the stability of solutions for a mathematical model of PDEs arising in chemotaxis
Bodo Dittmar: Sums of free membrane eigenvalues
Jiří Fišer: Dimensions of attractors of iterated multifunction systems

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Lecture room 6
Contributed talks

Francesca Papalini: Non-autonomous boundary value problems on the real line
Robert Mařík: Riccati technique for half-linear PDE
Jacek Tabor: Oscillation almost everywhere
János Karsai: Attractivity results for nonlinearly damped second order oscillator equations
František Jaroš: Strict φ-disconjugacy of n-th order linear differential equations with delays
Mohammad Mahdi Hosseini: A modified spectral method for ODEs with non-analytic or impulse solution
Nikos Yannakakis: Some generalizations of the Lax-Milgram theorem

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Lecture room 7
Contributed talks

Wiktor Radzki: On the structure of the set of bifurcation points of periodic solutions for multiparameter Hamiltonian systems
Leonard K. Shilgba: On periodic and homoclinic orbits of a class of non-autonomous Hamiltonian systems
Rafael O. Ramirez: Inverse problem in celestial mechanics

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