Buch, Englisch, 288 Seiten, Gewicht: 751 g
Buch, Englisch, 288 Seiten, Gewicht: 751 g
ISBN: 978-0-8218-4556-1
Verlag: American Mathematical Society
This book, which originally appeared in Japanese, was written for use in an undergraduate course of 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 ellipticity for higher order operators. Shimakura discusses the laplacian in Euclidean spaces, elementary solutions, smoothness of solutions, Vishik-Sobolev problems, the Scauder theory, and degenerate elliptic operators. The appendix covers such preliminaries as ordinary differential equations, Sobolev spaces, and maximum priniciples. 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.
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Weitere Infos & Material
Partial differential operators of elliptic type; The Laplacian in Euclidean spaces; Constructions and estimations of elementary solutions; Smoothness of solutions; Vishik-Sobolev problems; Generarl boundary value problems; Schauder estimates and applications; Degenerate elliptic operators.
A comprehensive study of the theory of elliptic partial differential operators. Beginning with the definitions ellipticity for higher order operators. Shimakura discusses the laplacian in Euclidean spaces, elementary solutions, smoothness of solutions, Vishik-Sobolev problems, the Scauder theory, and degenerate elliptic operators. 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.
