Partial differential equations
- Friedrich Sauvigny ; with consideration of lectures by E. Heinz.
- Uniform Title
- Partielle Differentialgleichungen der Geometrie und der Physik. English
- Berlin ; New York : Springer, c2006.
- Physical description
- 2 v. : ill. ; 24 cm.
- Sauvigny, Friedrich.
- Includes bibliographical references and indexes.
- v. 1. Foundations and integral representations
- v. 2. Functional analytic methods.
- Publisher's Summary
- This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed 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. We solve partial differential equations via integral representations in this volume, reserving functional analytic solution methods for Volume Two.
(source: Nielsen Book Data)9783540344575 20160607
- This encyclopedic work covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Emphasis is placed on the connection of PDEs and complex variable methods. This second volume addresses 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 with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, this volume uses functional analytic solution methods.
(source: Nielsen Book Data)9783540344612 20160607
- Supplemental links
Table of contents only
Table of contents only
- Included Work
- Sauvigny, Friedrich. Funktionalanalytische Lösungsmethoden. English.
- Sauvigny, Friedrich. Grundlagen und integraldarstellungen. English.
- Publication date
- Expanded version of the German original edition.
- 3540344578 (v. 1 - English edition : pbk.)
- 9783540344575 (v. 1 - English edition : pbk.)
- 3540344616 (v. 2 - English edition : pbk.)
- 9783540344612 (v. 2 - English edition : pbk.)
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