Partial Differential Equations 2: Functional Analytic Methods (Universitext)

Sauvigny, Friedrich

ISBN 10: 1447129830 ISBN 13: 9781447129837

Published by Springer, 2012

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Partial Differential Equations 2: Functional Analytic Methods (Universitext)

Publisher

Springer

Publication Date

2012

Language

English

ISBN 10

1447129830

ISBN 13

9781447129837

Binding

Soft cover

Edition

2nd Edition

Condition

New

Seller catalogs

About this title

Synopsis

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. The following topics are treated:

solvability of operator equations in Banach spaces
linear operators in Hilbert spaces and spectral theory
Schauder's theory of linear elliptic differential equations
weak solutions of differential equations
nonlinear partial differential equations and characteristics
nonlinear elliptic systems
boundary value problems from differential geometry

This new second edition of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added.

In the first volume, partial differential equations by integral representations are treated in a classical way.

This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.

From the Back Cover

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. The following topics are treated:

solvability of operator equations in Banach spaces
linear operators in Hilbert spaces and spectral theory
Schauder's theory of linear elliptic differential equations
weak solutions of differential equations
nonlinear partial differential equations and characteristics
nonlinear elliptic systems
boundary value problems from differential geometry

This new second edition of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added.

In the first volume, partial differential equations by integral representations are treated in a classical way.

"About this title" may belong to another edition of this title.

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