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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Partial Differential Equations 2 (EB) : Functional Analytic Methods / by Friedrich Sauvigny.
Author	Sauvigny, Friedrich
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2012.
Publication	London : Springer , 2012.
Physical Details	XVI, 453 pages : 11 illus. : online resource.
Series	Universitext 0172-5939
ISBN	9781447129844
Summary Note	This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. The following topics are treated: solvability of operator equations in Banach spacesÂ linear operators in Hilbert spaces and spectral theory Schauder's theory of linear elliptic differential equations weak solutions of differential equationsÂ nonlinear partial differential equations and characteristics nonlinear elliptic systems boundary value problems from differential geometry This new second edition of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added. In the first volume, partial differential equations by integral representations are treated in a classical way. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.:
Contents note	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 -- Boundary Value Problems from Differential Geometry.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4471-2984-4
Links to Related Works	Subject References: Differential equations, Partial . Functional Analysis . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Partial differential equations . Authors: Sauvigny, Friedrich . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.353 .

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Partial Differential Equations 2: Functional Analytic Methods

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