Partial Differential Operators of Elliptic Type
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A01=Norio Shimakura
Author_Norio Shimakura
Category=PBF
Category=PBK
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Product details
- ISBN 9780821845561
- Weight: 765g
- Publication Date: 30 Jul 1992
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
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This book, which originally appeared in Japanese, was written for use in an undergraduate course or first year graduate course in partial differential equations and is likely to be of interest to researchers as well. This book presents a comprehensive study of the theory of elliptic partial differential operators. Beginning with the definitions of ellipticity for higher order operators, Shimakura discusses the Laplacian in Euclidean spaces, elementary solutions, smoothness of solutions, Vishik-Sobolev problems, the Schauder theory, and degenerate elliptic operators. The appendix covers such preliminaries as ordinary differential equations, Sobolev spaces, and maximum principles. Because elliptic operators arise in many areas, readers will appreciate this book for the way it brings together a variety of techniques that have arisen in different branches of mathematics.
