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ℓ Goes to Plus Infinity

  • Michel Chipot

Part of the Birkhäuser Advanced Texts book series (BAT)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Michel Chipot
    Pages 1-16
  3. Michel Chipot
    Pages 17-36
  4. Michel Chipot
    Pages 59-76
  5. Michel Chipot
    Pages 101-126
  6. Michel Chipot
    Pages 127-136
  7. Michel Chipot
    Pages 137-152
  8. Michel Chipot
    Pages 153-175
  9. Back Matter
    Pages 177-181

About this book

Introduction

Many physical problems are meaningfully formulated in a cylindrical domain. When the size of the cylinder goes to infinity, the solutions, under certain symmetry conditions, are expected to be identical in every cross-section of the domain. The proof of this, however, is sometimes difficult and almost never given in the literature. The present book partially fills this gap by providing proofs of the asymptotic behaviour of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations.
The book is a valuable resource for graduates and researchers in applied mathematics and for engineers. Many results presented here are original and have not been published elsewhere. They will motivate and enable the reader to apply the theory to other problems in partial differential equations.

Keywords

Elliptic equations Sobolev space differential equation mathematics model partial differential equation

Authors and affiliations

  • Michel Chipot
    • 1
  1. 1.Institut für Mathematik Abt. Angewandte MathematikUniversität ZürichZürichSwitzerland

Bibliographic information