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Partial differential equations. VIII, Overdetermined systems, dissipative singular Schrödinger operator index theory

Author: M A Shubin
Publisher: Berlin ; New York : Springer, ©1996.
Series: Encyclopaedia of mathematical sciences, v. 65.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger 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  Read more...
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Additional Physical Format: Online version:
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi. 8. English.
Partial differential equations. VIII, Overdetermined systems, dissipative singular Schrödinger operator index theory.
Berlin ; New York : Springer, c1996
(OCoLC)654907179
Document Type: Book
All Authors / Contributors: M A Shubin
ISBN: 3540570365 9783540570363 0387570365 9780387570365
OCLC Number: 34266627
Notes: Translated from Russian.
Description: 258 p. : ill. ; 24 cm.
Contents: I. Linear overdetermined systems of partial differential equations, initial and initial-boundary value problems / P.I. Dudnikov, S.N. Samborski --
II. Spectral analysis of a dissipative singular Schrödinger operator in terms of a functional model / B.S. Pavlov --
III. Index theorems / B.V. Fedosov.
Series Title: Encyclopaedia of mathematical sciences, v. 65.
Other Titles: Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi.
Partial differential equations 8
Partial differential equations eight
Overdetermined systems, dissipative singular Schrödinger operator index theory
Responsibility: M.A. Shubin, ed.
More information:

Abstract:

This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger 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.

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