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Birkhäuser

Elliptic and Parabolic Problems

A Special Tribute to the Work of Haim Brezis

  • Book
  • © 2005

Overview

Editors:
  1. Catherine Bandle

    1. Mathematisches Institut, Universität Basel, Basel, Switzerland

  2. Henri Berestycki

    1. Ecole des hautes études en sciences sociales (EHESS), CAMS, Paris, France

  3. Bernard Brighi

    1. Faculté des Sciences et Techniques, Université de Haute-Alsace, Mulhouse Cedex, France

  4. Alain Brillard

    1. Laboratoire de Gestion des Risques et Environnement, Université de Haute-Alsace, Mulhouse, France

  5. Michel Chipot

    1. Angewandte Mathematik, Universität Zürich, Zürich, Switzerland

  6. Jean-Michel Coron

    1. Département de mathématiques, Université de Paris-Sud, Orsay, France

  7. Carlo Sbordone

    1. Dipartimento di Matematica e Applicazioni, Università di Napoli “Federico II”, Napoli, Italy

  8. Itai Shafrir

    1. Department of Mathematics, Technion — Israel Institute of Technology, Haifa, Israel

  9. Vanda Valente

    1. CNR-IAC, Roma, Italy

  10. Giorgio Vergara Caffarelli

    1. Dipartimento di metodi e modelli matematici per le Scienze Aplicate, Università di Roma “La Sapienza”, Roma, Italy

  • Presents new developments in the theory of partial differential equations with emphasis on elliptic and parabolic problems
  • Contributions stem from the same school which has been very active in the last decades and has influenced significantly the modern theory of partial differential equations
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 63)

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  • 1 Citation

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Table of contents (44 chapters)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. One-Layer Free Boundary Problems with Two Free Boundaries

    • Andrew Acker
    Pages 1-12

  3. New Numerical Solutions for the Brezis-Nirenberg Problem on \(\mathbb{S}^n \)

    • Catherine Bandle, Simon Stingelin
    Pages 13-21

  4. On some Boundary Value Problems for Incompressible Viscous Flows with Shear Dependent Viscosity

    • H. da Beirão Veiga
    Pages 23-32

  5. Radiative Heat Transfer in Silicon Purification

    • A. Bermúdez, R. Leira, M.C. Muñiz, F. Pena
    Pages 33-42

  6. A Decay Result for a Quasilinear Parabolic System

    • Said Berrimi, Salim A. Messaoudi
    Pages 43-50

  7. The Shape of Charged Drops: Symmetrybreaking Bifurcations and Numerical Results

    • S.I. Betelú, M.A. Fontelos, U. Kindelán
    Pages 51-58

  8. On the One-dimensional Parabolic Obstacle Problem with Variable Coefficients

    • A. Blanchet, J. Dolbeault, R. Monneau
    Pages 59-66

  9. Hardy Potentials and Quasi-linear Elliptic Problems Having Natural Growth Terms

    • Lucio Boccardo
    Pages 67-82

  10. Recent Advances on Similarity Solutions Arising During Free Convection

    • Bernard Brighi, Jean-David Hoernel
    Pages 83-92

  11. Rellich Relations for Mixed Boundary Elliptic Problems

    • R. Brossard, J.-P. Lohéac, M. Moussaoui
    Pages 93-102

  12. Lyapunov-type Inequalities and Applications to PDE

    • A. Cañada, J.A. Montero, S. Villegas
    Pages 103-110

  13. Gaeta 2004. Elliptic Resonant Problems with a Periodic Nonlinearity

    • A. Cañada, D. Ruiz
    Pages 111-118

  14. Harnack Inequality for p-Laplacians on Metric Fractals

    • Raffaela Capitanelli
    Pages 119-126

  15. Wave Propagation in Discrete Media

    • Ana Carpio
    Pages 127-134

  16. A Solution of the Heat Equation with a Continuum of Decay Rates

    • Thierry Cazenave, Flávio Dickstein, Fred B. Weissler
    Pages 135-138

  17. Finite Volume Scheme for Semiconductor Energy-transport Model

    • Claire Chainais-Hillairet, Yue-Jun Peng
    Pages 139-146

  18. Asymptotic Behavior of Nonlinear Parabolic Problems with Periodic Data

    • Michel Chipot, Yitian Xie
    Pages 147-156

  19. Geodesic Computations for Fast and Accurate Surface Remeshing and Parameterization

    • Gabriel Peyré, Laurent Cohen
    Pages 157-171

  20. On the Newton Body Type Problems

    • M. Comte
    Pages 173-177
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Editors and Affiliations

  • Mathematisches Institut, Universität Basel, Basel, Switzerland

    Catherine Bandle

  • Ecole des hautes études en sciences sociales (EHESS), CAMS, Paris, France

    Henri Berestycki

  • Faculté des Sciences et Techniques, Université de Haute-Alsace, Mulhouse Cedex, France

    Bernard Brighi

  • Laboratoire de Gestion des Risques et Environnement, Université de Haute-Alsace, Mulhouse, France

    Alain Brillard

  • Angewandte Mathematik, Universität Zürich, Zürich, Switzerland

    Michel Chipot

  • Département de mathématiques, Université de Paris-Sud, Orsay, France

    Jean-Michel Coron

  • Dipartimento di Matematica e Applicazioni, Università di Napoli “Federico II”, Napoli, Italy

    Carlo Sbordone

  • Department of Mathematics, Technion — Israel Institute of Technology, Haifa, Israel

    Itai Shafrir

  • CNR-IAC, Roma, Italy

    Vanda Valente

  • Dipartimento di metodi e modelli matematici per le Scienze Aplicate, Università di Roma “La Sapienza”, Roma, Italy

    Giorgio Vergara Caffarelli

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