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Partial Differential Equations and Functional Analysis

In Memory of Pierre Grisvard

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. Jean Cea

    1. Laboratoire de Mathématiques, University of Nice, Nice Cedex, France

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  2. Denise Chenais

    1. Laboratoire de Mathématiques, University of Nice, Nice Cedex, France

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  3. Giuseppe Geymonat

    1. Laboratoire de Mathématiques, Ecole Normale Supérieure, Cachan Cedex, France

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  4. Jacques Louis Lions

    1. Collège de France, Paris, France

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 22)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-xxii
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  2. Problèmes aux limites dans des domaines avec points de rebroussement

    • P. Grisvard
    Pages 1-17

  3. Elliptic Problems in Domains with Edges: Anisotropic Regularity and Anisotropic Finite Element Meshes

    • Thomas Apel, Serge Nicaise
    Pages 18-34

  4. Unique Continuation of Harmonic Functions at Boundary Points and Applications to Problems in Complex Analysis

    • M. S. Baouendi, Linda Preiss Rothschild
    Pages 35-40

  5. The Wave Shaping Problem

    • Claude Bardos, Mikhael Belyshev
    Pages 41-59

  6. Modélisation mathématique des coques linéairement élastiques

    • Philippe G. Ciarlet
    Pages 60-79

  7. Fully Nonlinear Equations by Linearization and Maximal Regularity, and Applications

    • Giuseppe Da Prato
    Pages 80-92

  8. Strongly Elliptic Problems Near Cuspidal Points and Edges

    • Monique Dauge
    Pages 93-110

  9. Star produit associé à un crochet de Poisson de rang constant

    • Louis Boutet de Monvel
    Pages 111-119

  10. La méthode des lâchés de tourbillons pour le calcul des efforts aérodynamiques

    • Philippe Destuynder, Françoise Santi
    Pages 120-131

  11. Sum of Operators’ Method in Abstract Equations

    • Angelo Favini
    Pages 132-146

  12. Constructive Methods for Abstract Differential Equations and Applications

    • Giuseppe Geymonat, Ouro Tcha-Kondor
    Pages 147-159

  13. On Asymptotics of Solutions of Nonlinear Second Order Elliptic Equations in Cylindrical Domains

    • V. A. Kondratiev, O. A. Oleinik
    Pages 160-173

  14. Singularities in Solutions to Mathematical Physics Problems in Non-Smooth Domains

    • V. A. Kozlov, V. G. Maz’ya
    Pages 174-206

  15. Problèmes sensitifs et coques élastiques minces

    • J.-L. Lions, E. Sanchez-Palencia
    Pages 207-220

  16. Contrôlabilite exacte frontière de l’équation des ondes en presence de singularités

    • Mary Teuw Niane
    Pages 221-234

  17. Interpolation and Extrapolation Spaces in Evolution Equations

    • E. Sinestrari
    Pages 235-254

  18. Localisation des singularités sur la frontière et partitions de l’unité

    • Martin Zerner
    Pages 255-263

  19. Back Matter

    Pages 265-266
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Keywords

About this book

Pierre Grisvard, one of the most distinguished French mathematicians, died on April 22, 1994. A Conference was held in November 1994 out of which grew the invited articles contained in this volume. All of the papers are related to functional analysis applied to partial differential equations, which was Grisvard's specialty. Indeed his knowledge of this area was extremely broad. He began his career as one of the very first students of Jacques Louis Lions, and in 1965, he presented his "State Thesis" on interpolation spaces, using in particular, spectral theory for linear operators in Banach spaces. After 1970, he became a specialist in the study of optimal regularity for par­ tial differential equations with boundary conditions. He studied singulari­ ties coming from coefficients, boundary conditions, and mainly non-smooth domains, and left a legacy of precise results which have been published in journals and books. Pierre Grisvard spent most of his career as a full professor at the University of Nice, where he started in 1967. For shorter or longer periods, he visited several foreign countries, and collaborated with some of the most famous mathematicians in his field. He was also an excellent organizer and directed a large number of Ph.D. students. Finally, this volume contains a bibliography of Grisvard's works as well as one paper which he wrote and which has not been published before.

Editors and Affiliations

  • Laboratoire de Mathématiques, University of Nice, Nice Cedex, France

    Jean Cea, Denise Chenais

  • Laboratoire de Mathématiques, Ecole Normale Supérieure, Cachan Cedex, France

    Giuseppe Geymonat

  • Collège de France, Paris, France

    Jacques Louis Lions

Bibliographic Information

  • Book Title: Partial Differential Equations and Functional Analysis

  • Book Subtitle: In Memory of Pierre Grisvard

  • Editors: Jean Cea, Denise Chenais, Giuseppe Geymonat, Jacques Louis Lions

  • Series Title: Progress in Nonlinear Differential Equations and Their Applications

  • DOI: https://doi.org/10.1007/978-1-4612-2436-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1996

  • Hardcover ISBN: 978-0-8176-3839-9Due: 31 May 1996

  • Softcover ISBN: 978-1-4612-7536-7Published: 19 July 2013

  • eBook ISBN: 978-1-4612-2436-5Published: 06 December 2012

  • Series ISSN: 1421-1750

  • Series E-ISSN: 2374-0280

  • Edition Number: 1

  • Number of Pages: XXII, 266

  • Number of Illustrations: 10 b/w illustrations

  • Topics: Partial Differential Equations, Functional Analysis, Analysis

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