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＜電子ブック＞
Partial Differential Equations 2 : Functional Analytic Methods / by Friedrich Sauvigny
(Universitext. ISSN:21916675)

版	1st ed. 2006.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XIV, 392 p. 8 illus., 1 illus. in color : online resource
著者標目	*Sauvigny, Friedrich author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Functional analysis LCSH:Mathematical physics FREE:Differential Equations FREE:Functional Analysis FREE:Mathematical Methods in Physics
一般注記	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 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 second volume 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 with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, functional analytic methods are used in this 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 HTTP:URL=https://doi.org/10.1007/3-540-34462-4

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