Partial differential equations. 1, foundations and integral representations

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...

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Glavni avtor: Sauvigny, Friedrich
Drugi avtorji: Heinz, Erhard, 1924-2017 (Éditeur intellectuel)
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books [20..].
Cham : Springer Nature
Serija:Universitext
Teme:
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Sporočilo: Description d'après consultation du 15 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Variante du titre:Foundations and integral representations
Edition sous un autre format:• Partial differential equations, 1, Foundations and integral representations, Friedrich Sauvigny, Berlin, Springer, 2006, 1 vol. (XIV-437 p.), Universitext, 3-540-34457-8
Opis
Izvleček: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
Opis knjige/članka:Description d'après consultation du 15 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografija:Bibliogr. p. [431]-432. Index
ISBN:9783540344599
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017