Progress in Partial Differential Equations

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