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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

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  2. Henri Berestycki

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

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  3. Bernard Brighi

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

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  4. Alain Brillard

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

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  5. Michel Chipot

    1. Angewandte Mathematik, Universität Zürich, Zürich, Switzerland

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  6. Jean-Michel Coron

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

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  7. Carlo Sbordone

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

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  8. Itai Shafrir

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

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  9. Vanda Valente

    1. CNR-IAC, Roma, Italy

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  10. Giorgio Vergara Caffarelli

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

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  • 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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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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Keywords

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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