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Intro  CONTENTS  Preface  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  Boltzmann Equation for Quantum Particles and Fokker Planck approximation  Boundedness of global solutions of nonlinear parabolic equations  Transmission problems for degenerate parabolic equations  Existence of solutions of a segregation model arising in population dynamics  The nonstationary Stokes and NavierStokes equations in aperture domains  Global attractors for multivalued flows associated with subdifferentials  Quasiconvex extreme points of convex sets  The Richards equation for the modeling of a nuclear waste repository  Trace identities and universal estimates for eigenvalues of linear pencils  Universal estimates for the blowup rate in a semilinear heat equation  Asymptotic behavior of curves evolving by forced curvature flows  Existence of nonsteady flows of an incompressible, viscous drop of fluid in a frame rotating with finite angular velocity  On a convectiondiffusion equation with partial diffusivity  Quasiconvexity and optimal design  A regularity criterion for the angular velocity component in the case of axisymmetric NavierStokes equations  A comparison principle for the pLaplacian  Supercritical variational problems with unique critical points 

Structure of the solution flow for steadystate problems of onedimensional Frémond models of shape memory alloys  Lagrangian coordinates in free boundary problems for multidimensional parabolic equations  The BrézisNirenberg problem on Ĥn 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  Viscosity Lyapunov functions for almost sure stability of degenerate diffusions  Mass transport through charged membranes  The Hopf solution of HamiltonJacobi equations  Conservation of critical groups in a weaker topology for functionals associated with quasilinear elliptic equations  Approximating exterior flows by flows on truncated exterior domains: piecewise polygonal artificial boundaries  On the Stefan problem with surface tension  Epidemic models with compartmental diffusion  Algebraic multigrid for selected PDE systems  Numerical computation of electromagnetic guided waves in a general perturbed stratified medium  A nonstationary model for catalytic converters with cylindrical geometry  Exact controllability of piezoelectric shells  Optimal control approach for the fluidstructure interaction problems  Hyperbolic propagation of singularities in a parabolic system of shell theory  Singular perturbations going out of the energy space. Layers in elliptic and parabolic cases  Regularity and uniqueness results for a phase change problem in binary alloys  Bifurcation in population dynamics 

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 Galiano et al.); Global Attractors for Multivalued Flows Associated with Subdifferentials (N Kenmochi & N Yamazaki); Quasiconvexity and Optimal Design (P Pedregal); A Comparison Principle for the p Laplacian (A Poliakovsky & I Shafrir); Gaeta: Nonlinear Diffusion in Irregular Domains (U G Abdulla); Viscosity Lyapunov Functions for Almost Sure Stability of Degenerate Diffusions (M Bardi & A Cesaroni); Approximating Exterior Flows by Flows on Truncated Exterior Domains: Piecewise Polygonal Artificial Boundaries (P Deuring); Epidemic Models with Compartmental Diffusion (W E Fitzgibbon et al.); Exact Controllability of Piezoelectric Shells (B Miara); Bifurcation in Population Dynamics (K Umezu); and other papers. Readership: Graduate students and researchers in the fields of partial differential equations and applied mathematics 

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries 
Link 
Print version: Bemelmans, Josef Elliptic and Parabolic Problems : Rolduc and Gaeta 2001
Singapore : World Scientific Publishing Co Pte Ltd,c2002 9789812380456

Subject 
Differential equations, Elliptic  Congresses.;Differential equations, Parabolic  Congresses


Electronic books

Alt Author 
Brighi, Bernard


Brillard, Alain


Brillard, Alain


Chipot, Michel


Conrad, Francis


Shafrir, Itai


Valente, Vanda


Caffarelli, Giorgio Vergara

