Progress in Partial Differential Equations: Pont-A-Mousson 1997, Volume 384, 1st Edition (Hardback) book cover

Progress in Partial Differential Equations

Pont-A-Mousson 1997, Volume 384, 1st Edition

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

Chapman and Hall/CRC

208 pages

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Hardback: 9780582317086
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
  • 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 Paramètres et Passges á la Limite dans les Problèmes de Filtration Dephasique

    Periodic Solutions for a Doubly Nonlinear Diffusion Equation in Hydrology

    Regularity of the Fundamental Solution for the Monge-Ampère 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 Bornées de Quelques Problèmes d'Évolution avec Nonlinéarité Analytique

    Image Processing and Anisotropic Diffusion

    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