Presents a comprehensive study of the theory of elliptic partial differential operators. Starting with the definitions of ellipticity for higher order operators, this title discusses the Laplacian in Euclidean spaces, elementary solutions, smoothness of solutions, Vishik-Sobolev problems, the Schauder theory, and degenerate elliptic operators. Series: Translations of Mathematical Monographs Reprint. Num Pages: 288 pages. BIC Classification: PBF; PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 260 x 184. Weight in Grams: 751. . 1992. Hardcover. . . . .

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Bibliographic Details

Title: Partial Differential Operators of Elliptic Type (Translations of Mathematical Monographs)
Publisher: American Mathematical Society
Publication Date: 1992
Language: English
ISBN 10: 082184556X
ISBN 13: 9780821845561
Binding: Hardcover
Condition: New

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Synopsis

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.

Language Notes

Text: English (translation)
Original Language: Japanese

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