Elliptic and Parabolic Problems: Rolduc and Gaeta 2001 : Proceedings of the 4th European Conference Rolduc, Netherlands 18-22 June 2001 : Gaeta, Italy 24-28 September 2001

An overview of the state of the art in important subjects, including - besides elliptic and parabolic issues - geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modelling and numerical analysis. The papers constitute the proceedings of the Fourth European Conference on Elliptic and Parabolic Problems, held in Rolduc, the Netherlands, and Gaeta, Italy, in 2001. CONTENTS......Page 8 Preface......Page 6 Models for shape memory alloys described by subdifferentials of indicator functions......Page 12 Semilinear elliptic boundary value problems with critical Sobolev exponent......Page 22 Diffraction problems for quasilinear elliptic and parabolic systems......Page 32 Extremality and compactness results for elliptic hemivariational inequalities......Page 41 On an operator equation for Stokes boundary value problems......Page 51 Local stability under changes of boundary conditions at a far away location......Page 63 On some variational problems with an infinite number of wells......Page 77 Boltzmann Equation for Quantum Particles and Fokker Planck approximation......Page 86 Boundedness of global solutions of nonlinear parabolic equations......Page 99 Transmission problems for degenerate parabolic equations......Page 114 Existence of solutions of a segregation model arising in population dynamics......Page 124 The nonstationary Stokes and Navier-Stokes equations in aperture domains......Page 137 Global attractors for multivalued flows associated with subdifferentials......Page 146 Quasiconvex extreme points of convex sets......Page 156 The Richards equation for the modeling of a nuclear waste repository......Page 163 Trace identities and universal estimates for eigenvalues of linear pencils......Page 171 Universal estimates for the blow-up rate in a semilinear heat equation......Page 176 Asymptotic behavior of curves evolving by forced curvature flows......Page 186 Existence of non-steady flows of an incompressible, viscous drop of fluid in a frame rotating with finite angular velocity......Page 191 On a convection-diffusion equation with partial diffusivity......Page 215 Quasiconvexity and optimal design......Page 226 A regularity criterion for the angular velocity component in the case of axi-symmetric Navier-Stokes equations......Page 244 A comparison principle for the p-Laplacian......Page 254 Supercritical variational problems with unique critical points......Page 264 Structure of the solution flow for steady-state problems of one-dimensional Frémond models of shape memory alloys......Page 274 Lagrangian coordinates in free boundary problems for multidimensional parabolic equations......Page 285 The Brézis-Nirenberg problem on H^n Existence and uniqueness of solutions......Page 294 Solvability of general elliptic problems in Hölder spaces......Page 302 Nonlinear diffusion in irregular domains......Page 313 Analysis of radiative transfer equation coupled with nonlinear heat conduction equation......Page 322 Viscosity Lyapunov functions for almost sure stability of degenerate diffusions......Page 333 Mass transport through charged membranes......Page 343 The Hopf solution of Hamilton-Jacobi equations......Page 354 Conservation of critical groups in a weaker topology for functionals associated with quasilinear elliptic equations......Page 363 Approximating exterior flows by flows on truncated exterior domains: piecewise polygonal artificial boundaries......Page 375 On the Stefan problem with surface tension......Page 388 Epidemic models with compartmental diffusion......Page 400 Algebraic multigrid for selected PDE systems......Page 410 Numerical computation of electromagnetic guided waves in a general perturbed stratified medium......Page 422 A non-stationary model for catalytic converters with cylindrical geometry......Page 435 Exact controllability of piezoelectric shells......Page 445 Optimal control approach for the fluid-structure interaction problems......Page 453 Hyperbolic propagation of singularities in a parabolic system of shell theory......Page 462 Singular perturbations going out of the energy space. Layers in elliptic and parabolic cases......Page 472 Regularity and uniqueness results for a phase change problem in binary alloys......Page 486 Bifurcation in population dynamics......Page 496 This book provides an overview of the state of the art in important subjects, including - besides elliptic and parabolic issues - geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis. Contents: Rolduc: Models for Shape Memory Alloys Described by Subdifferentials of Indicator Functions (T Aiki & N Kenmochi); Local Stability Under Changes of Boundary Conditions at a Far Away Location (M Chipot & A Rougirel); Existence of Solutions of a Segregation Model Arising in Population Dynamics (G Supercritical variational problems with unique critical pointsStructure of the solution flow for steady-state problems of one-dimensional Frémond models of shape memory alloys; Lagrangian coordinates in free boundary problems for multidimensional parabolic equations; The Brézis-Nirenberg problem on H^n Existence and uniqueness of solutions; Solvability of general elliptic problems in Hölder spaces; 2. Gaeta; Nonlinear diffusion in irregular domains; Analysis of radiative transfer equation coupled with nonlinear heat conduction equation Preface; CONTENTS; 1. Rolduc; Models for shape memory alloys described by subdifferentials of indicator functions; Semilinear elliptic boundary value problems with critical Sobolev exponent; Diffraction problems for quasilinear elliptic and parabolic systems; Extremality and compactness results for elliptic hemivariational inequalities; On an operator equation for Stokes boundary value problems; Local stability under changes of boundary conditions at a far away location; On some variational problems with an infinite number of wells