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Partial Differential Equations 2 [electronic resource] : Functional Analytic Methods / by Friedrich Sauvigny.

By: Sauvigny, Friedrich [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextTextSeries: Universitext: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006Description: XIV, 392 p. 8 illus., 1 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540344629.Subject(s): Differential equations, partial | Functional analysis | Mathematical physics | Partial Differential Equations | Functional Analysis | Mathematical Methods in PhysicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 515.353 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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Partial differential equations 2 by Sauvigny Friedrich
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