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Elliptic Equations: An Introductory Course

  • Michel Chipot

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Basic Techniques

  3. More Advanced Theory

    1. Front Matter
      Pages 151-151
    2. Pages 153-176
    3. Pages 177-189
    4. Pages 191-202
    5. Pages 211-216
    6. Pages 217-229
    7. Pages 231-245
  4. Back Matter
    Pages 275-290

About this book

Introduction

The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and refinements. Apart from the basic theory of equations in divergence form it includes subjects such as singular perturbation problems, homogenization, computations, asymptotic behaviour of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes system, p-Laplace equation. Just a minimum on Sobolev spaces has been introduced, and work or integration on the boundary has been carefully avoided to keep the reader's attention on the beauty and variety of these issues.

The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original and have not been published elsewhere. The book will be of interest to graduate students and faculty members specializing in partial differential equations.

Keywords

Navier-Stokes equations Sobolev space elliptic equation elliptic system maximum principle maximum principles nonlinear problems partial differential equation perturbation methods

Authors and affiliations

  • Michel Chipot
    • 1
  1. 1.Institute of MathematicsUniversity of ZürichZürichSwitzerland

Bibliographic information

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