© 1996

Partial Differential Equations VIII

Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory

  • M. A. Shubin

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 65)

Table of contents

About this book


This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.


Boundary value problem Deformierungsquantisierung Indexsätze Satz von Atiyah und Singer Schrödinger operator Schrödingeroperator calculus deformation quantization differential equation index theorems overdetermined systems partial differential equation the Atiyah-Singer theorem überbestimmte Systeme

Editors and affiliations

  • M. A. Shubin
    • 1
  1. 1.Department of MathematicsNortheastern UniversityBostonUSA

Bibliographic information

  • Book Title Partial Differential Equations VIII
  • Book Subtitle Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory
  • Editors M.A. Shubin
  • Series Title Encyclopaedia of Mathematical Sciences
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-57036-3
  • Softcover ISBN 978-3-642-48946-4
  • eBook ISBN 978-3-642-48944-0
  • Series ISSN 0938-0396
  • Edition Number 1
  • Number of Pages VII, 261
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original Russian edition published by Viniti, Moscow, 1991
  • Topics Analysis
    Algebraic Geometry
    Mathematical Methods in Physics
    Numerical and Computational Physics, Simulation
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