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Partial Differential Equations and Functional Analysis

In Memory of Pierre Grisvard

  • Jean Cea
  • Denise Chenais
  • Giuseppe Geymonat
  • Jacques Louis Lions

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

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Claude Bardos, Mikhael Belyshev
    Pages 41-59
  3. Giuseppe Geymonat, Ouro Tcha-Kondor
    Pages 147-159
  4. J.-L. Lions, E. Sanchez-Palencia
    Pages 207-220
  5. Back Matter
    Pages 265-266

About these proceedings

Introduction

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.

Keywords

Finite Mathematica banach spaces calculus complex analysis differential equation equation function functional analysis interpolation mathematical physics maximum partial differential equation spectral theory

Editors and affiliations

  • Jean Cea
    • 1
  • Denise Chenais
    • 1
  • Giuseppe Geymonat
    • 2
  • Jacques Louis Lions
    • 3
  1. 1.Laboratoire de MathématiquesUniversity of NiceNice CedexFrance
  2. 2.Laboratoire de MathématiquesEcole Normale SupérieureCachan CedexFrance
  3. 3.Collège de FranceParisFrance

Bibliographic information