ENGLISH

Partial differential equations. Foundations and integral representations

By Friedrich Sauvigny

Book information

Publisher
Springer
Year
2006
ISBN
3540344578, 9783540344575
LCC
QA377 .S33413 2006
Open Library ID
OL23155920M
Language
english
Format
PDF
Filesize
4 MB (3794714 bytes)
Series
Universitext
Volume
1
Edition
1
Pages
452\452
Library
Springer
Time added
2009-08-06 07:02:15

Description

This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.

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