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Partial Differential Equations 3rd ed.(Graduate Texts in Mathematics Vol. 214) hardcover XIII, 410 p. 12

Jost, Jürgen  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月  数量 冊 
価格 特価  \19,113(税込)         

発行年月 2012年11月
出版社/提供元
出版国 アメリカ合衆国
言語 英語
媒体 冊子
装丁 hardcover
ページ数/巻数 XIII, 410 p.
ジャンル 洋書/理工学/数学/解析学
ISBN 9781461448082
商品コード 1010700361
新刊案内掲載月 2012年10月
商品URL
参照
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1010700361

内容

This book offers an ideal graduate-level introduction to the theory of partial differential equations.  The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of  Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. In particular, the reader will learn the basic techniques underlying current research in elliptic partial differential equations.This revised and expanded third edition is enhanced with many additional examples that will help motivate the reader.  New features include a reorganized and extended chapter on hyperbolic equations, as well as a new chapter on the relations between different types of partial differential equations, including first-order hyperbolic systems, Langevin and Fokker-Planck equations, viscosity solutions for elliptic PDEs, and much more. Also, the new edition contains additional material on systems of elliptic partial differential equations, and it explains in more detail how the Harnack inequality can be used for the regularity of solutions.

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