The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments.
Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics ogeneral evolution problems calculus of variations ohomogenization omodeling numerical analysis.
The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.
Table of Contents
of Volume 2
On Solution Existence for Elastoplastic Plates with Cracks, A.M. Khludnev and J. Sokolowski
The Boundary Trace of Positive Solutions of Semilinear Elliptic Equations, M. Marcus and L. Veron
Blow Up of Critical and Subcritical Norms in Semilinear Heat Equations, J. Matos
Periodic Phases in Second Order Materials and Higher Order Model Equations, V.J. Mizel, L.A. Peletier, and W. C. Troy
On the Interior Regularity of Weak Solutions to Nonlinear Parabolic Systems in Two Spatial Dimensions, J. Naumann
Some Remarks on Singular Degenerate Parabolic Equations including the p-Laplace Diffusion Equation, M. Ohnuma
A Generalization of the Extended Fisher-Kolmogorov Equation with an Application to Pulse Propagation Along Optical Fibers, L.A. Peletier, A.I. Rotariu-Bruma and W.C. Troy
Global Solutions in Parabolic Blow-Up Problems with Perturbations, P. Quittner
Large-Time Behavior of Solutions to Phase Field Equations with Constraints Under Nonlinear Dynamic Boundary Conditions, N. Sato and T. Aiki
Asymptotic Stability for Evolution Systems Associated with Phase Transition, K. Shirakawa, A. Ito, N. Yamazaki and N. Kenmochi
Free Boundary Problems for Second Order Parabolic Equations, V.A. Solonnikov
Some Results on Blow-Up for Nonlocal Reaction-Diffusion Equations, P. Souplet
Strictly Convex Curves, Convex Hulls, and Surface of Positive Gauss Curvature, J. Spruck
Global Bifurcations Results for Noncompact Operators on Unbounded Domains, N.M. Stavrakakis
Multidimensional Traveling Waves in the Bistable Case, V.A. Volpert and A.I. Volpert
Boundary Stabilization of the Equation of Kirchhoff Plates, W. Ali
Existence Results in Lp -Lq spaces for Second Order Parabolic Equations with Inhomogeneous Dirichlet Boundary Conditions, P. Weidemaier
Remarks to the Blow-Up profile of a Degenerate Parabolic Equation, M. Wiegner