Partial Differential Operators of Elliptic Type

SHIMAKURA, Norio

ISBN 10: 082184556X / ISBN 13: 9780821845561

Published by American Mathematical Society, Providence, RI, 1992

About this Item

Transitions of Mathematical Monographs Vol. 99. xiii, 288 p. 26 cm. Ex library wth labels on spine and rear pastedown, ink stamp on rear endpaper, top edge. Originally published in Japanese by Kinokiniya Company, Tokyo in 1978. Seller Inventory # 146842

Bibliographic Details

Title: Partial Differential Operators of Elliptic ...

Publisher: American Mathematical Society, Providence, RI

Publication Date: 1992

Binding: Hardcover

Condition: ex library-good

About this title

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.