Partial differential equations

＜図書＞
Partial differential equations

責任表示	Jürgen Jost
シリーズ	Graduate texts in mathematics ; 214
データ種別	図書
版	2nd ed
出版情報	New York : Springer , c2007
本文言語	英語
大きさ	xiii, 356 p. : ill. ; 25 cm
概要	This book is intended for students who wish to get an introduction to the theory of partial differential equations.The author focuses on elliptic equations and systematically develops the relevant exi...tence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups.This book can be utilized for a one-year course on partial differential equations. For the new edition the author has added a new chapter on reaction-diffusion equations and systems. There is also new material on Neumann boundary value problems, Poincare inequalities, expansions, as well as a new proof of the Holder regularity of solutions of the Poisson equation. Book jacket.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7000945

一般注記	Includes bibliographical references (p. [347]-348) and index
著者標目	*Jost, Jürgen, 1956-
件　名	LCSH:Differential equations, Partial
分　類	LCC:QA377 DC22:515/.353
書誌ID	1001236656
ISBN	9780387493183
NCID	BA80710984
巻冊次	ISBN:9780387493183 ; XISBN:0387493182
登録日	2009.09.18
更新日	2017.02.18