Progress in Partial Differential Equations: Pont-A-Mousson 1997, Volume 383, 1st Edition (Hardback) book cover

Progress in Partial Differential Equations

Pont-A-Mousson 1997, Volume 383, 1st Edition

By Herbert Amann, C Bandle, Michel Chipot, F Conrad, I Shafrir

Chapman and Hall/CRC

224 pages

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Hardback: 9780582317093
pub: 1998-04-01
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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

    About the Series

    Chapman & Hall/CRC Research Notes in Mathematics Series

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    Subject Categories

    BISAC Subject Codes/Headings:
    MATHEMATICS / Applied
    MATHEMATICS / Differential Equations