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

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