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Partial Differential Equations VIII

Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory

  • Book
  • © 1996

Overview

Editors:
  1. M. A. Shubin

    1. Department of Mathematics, Northeastern University, Boston, USA

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

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-vii
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  2. Linear Overdetermined Systems of Partial Differential Equations. Initial and Initial-Boundary Value Problems

    • P. I. Dudnikov, S. N. Samborski
    Pages 1-86

  3. Spectral Analysis of a Dissipative Singular Schrödinger Operator in Terms of a Functional Model

    • B. S. Pavlov
    Pages 87-153

  4. Index Theorems

    • B. V. Fedosov
    Pages 155-251

  5. Back Matter

    Pages 253-261
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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.

Editors and Affiliations

  • Department of Mathematics, Northeastern University, Boston, USA

    M. A. Shubin

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