Partial Differential Equations 2: Functional Analytic Methods - Couverture souple

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Sauvigny, Friedrich

 
9781447129837: Partial Differential Equations 2: Functional Analytic Methods
Couverture souple
ISBN 10 : 1447129830 ISBN 13 : 9781447129837
Editeur : Springer, 2012

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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 characteristicsnonlinear elliptic systemsboundary value problems from differential geometryThis 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.

Présentation de l'éditeur

In two comprehensive volumes, updated and revised in a second edition, this textbook spans elliptic, parabolic, and hyperbolic types, and several variables. This second part emphasizes functional analytic methods and applications to differential geometry.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2012
Langue
anglais
ISBN 10 
1447129830
ISBN 13 
9781447129837
Reliure
Broché
Numéro d'édition
2
Nombre de pages
472
Coordonnées du fabricant
non disponible
Personne responsable
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9783540344612: Partial Differential Equations 2: Functional Analytic Methods

Edition présentée

ISBN 10 :  3540344616 ISBN 13 :  9783540344612
Editeur : Springer-Verlag Berlin and Heide..., 2008
Couverture souple