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Elliptic Partial Differential Equations

Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains

  • Vitaly Volpert

Part of the Monographs in Mathematics book series (MMA, volume 101)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Vitaly Volpert
    Pages 1-46
  3. Vitaly Volpert
    Pages 47-104
  4. Vitaly Volpert
    Pages 105-133
  5. Vitaly Volpert
    Pages 135-181
  6. Vitaly Volpert
    Pages 183-225
  7. Vitaly Volpert
    Pages 227-250
  8. Vitaly Volpert
    Pages 251-290
  9. Vitaly Volpert
    Pages 291-357
  10. Vitaly Volpert
    Pages 359-400
  11. Vitaly Volpert
    Pages 401-444
  12. Vitaly Volpert
    Pages 445-525
  13. Back Matter
    Pages 527-639

About this book

Introduction

<p>The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid to elliptic problems in unbounded domains which have not yet been sufficiently treated in the literature and which require some special approaches. The book also contains an analysis of non-Fredholm operators and discrete operators as well as extensive historical and bibliographical comments.</p>

<p>The selected topics and the author's level of discourse will make this book a most useful resource for researchers and graduate students working in the broad field of partial differential equations and applications.</p>

Authors and affiliations

  • Vitaly Volpert
    • 1
  1. 1.Dépt. MathématiquesUniversité Lyon IVilleurbanne CXFrance

Bibliographic information