Functional analytic methods
著者
書誌事項
Functional analytic methods
（Universitext, . Partial differential equations ; 2）
Springer, c2006
- タイトル別名
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Partielle Differentialgleichungen der Geometrie und der Physik : Funktionalanalytische Lösungsmethoden
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注記
Expanded version of the German original edition
Includes bibliographical references (p. [383]-384) and index
内容説明・目次
内容説明
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.
目次
Operators in Banach Spaces.- Linear Operators in Hilbert Spaces.- Linear Elliptic Differential Equations.- Weak Solutions of Elliptic Differential Equations.- Nonlinear Partial Differential Equations.- Nonlinear Elliptic Systems.
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