Partial Differential Equations 2 : Functional Analytic Methods

Friedrich Sauvigny

ISBN 10: 1447129830 / ISBN 13: 9781447129837

Published by Springer London, Springer London, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781447129837

Bibliographic Details

• Title: Partial Differential Equations 2 : Functional Analytic Methods
• Publisher: Springer London, Springer London
• Publication Date: 2012
• Language: English
• ISBN 10: 1447129830
• ISBN 13: 9781447129837
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 235W x 155H x 26D millimeters 235 millimeters width by 155 millimeters height by 26 millimeters depth
• Weight: 709 grams

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.