
Preface  Preview Material  Table of Contents  Index  Supplementary Material 
Graduate Studies in Mathematics 2013; 250 pp; hardcover Volume: 143 ISBN10: 0821887718 ISBN13: 9780821887714 List Price: US$64 Member Price: US$51.20 Order Code: GSM/143 See also: Linear Functional Analysis  Joan Cerda A Basic Course in Partial Differential Equations  Qing Han  This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finitedimensional linear algebra. The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a onesemester graduate course. Request an examination or desk copy. Readership Graduate students interested in functional analysis and partial differential equations. 


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