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OverviewThis 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 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 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. Full Product DetailsAuthor: Friedrich SauvignyPublisher: Springer London Ltd Imprint: Springer London Ltd Edition: 2nd ed. 2012 Dimensions: Width: 15.50cm , Height: 2.40cm , Length: 23.50cm Weight: 0.718kg ISBN: 9781447129837ISBN 10: 1447129830 Pages: 453 Publication Date: 02 April 2012 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsOperators 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.ReviewsFrom the reviews of the second edition: The second volume of the revised edition of this book presents functional analytic methods and applications to problems in differential geometry. ... The book will be a useful addition to the libraries of all those interested in the theory and applications of partial differential equations. (Vicentiu D. Radulescu, Zentralblatt MATH, Vol. 1246, 2012) Author InformationTab Content 6Author Website:Countries AvailableAll regions |