- Volume
-
v. 1 ISBN 9780582317086
Description
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
general evolution problems ocalculus of variations
homogenization
modeling
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 1
A Serrin Type Result for Infinite Cylinders
Large-Time Behavior of One-Dimensional Two-Phase Stefan Problems
Petits Parametres et Passges a la Limite dans les Problemes de Filtration Dephasique
Periodic Solutions for a Doubly Nonlinear Diffusion Equation in Hydrology
Regularity of the Fundamental Solution for the Monge-Ampere Operator
Radial Symmetry for Non-Negative Solutions of Semilinear Elliptic Equations Involving the p-Laplacian
Lagrange Multiplier Method and Nonlinear Elliptic Boundary Value Problems with Periodic Nonlinearity
Parabolic Degenerate Nonlinear Equations in Image Processing
Isoperimetric Inequalities for the Sums of Reciprocal Eigenvalues
The Group Representation Theory and Vibrations of Cyclic Structures
Remarks on Convergence of Evolving Graphs by Nonlocal Curvature
Estimates for Explosive Solutions to p-Laplace Equations
A Quadratic Form Inequality for Classes of Degenerate Elliptic Operators
Area Integral Estimates for Solutions of Parabolic Equations
Pseudodifferential Evolution Problems
Stability of Rothe's Scheme and Maximal Regularity for Parabolic Equations in CqW
Convergence des Solution Globales et Bornees de Quelques Problemes d'Evolution avec Nonlinearite Analytique
Image Processing and Anisotropic Diffusion
- Volume
-
v. 2 ISBN 9780582317093
Description
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
by "Nielsen BookData"