Encyclopaedia of Mathematical Sciences

Partial Differential Equations VIII

Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory

Editors: Shubin, M.A. (Ed.)

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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.

Table of contents (3 chapters)

  • Linear Overdetermined Systems of Partial Differential Equations. Initial and Initial-Boundary Value Problems

    Dudnikov, P. I. (et al.)

    Pages 1-86

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

    Pavlov, B. S.

    Pages 87-153

  • Index Theorems

    Fedosov, B. V.

    Pages 155-251

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-48944-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-642-48946-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Partial Differential Equations VIII
Book Subtitle
Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory
Editors
  • M.A. Shubin
Translated by
Constanda, C.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
65
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-48944-0
DOI
10.1007/978-3-642-48944-0
Softcover ISBN
978-3-642-48946-4
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VII, 261
Additional Information
Original Russian edition published by Viniti, Moscow, 1991
Topics