Hodge decomposition : a method for solving boundary value problems

＜図書＞
Hodge decomposition : a method for solving boundary value problems

責任表示	Günter Schwarz
シリーズ	Lecture notes in mathematics ; 1607
データ種別	図書
出版情報	Berlin ; New York : Springer-Verlag , c1995
本文言語	英語
大きさ	155 p. ; 24 cm
概要	Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with bounda...y under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018289

一般注記	Includes bibliographical references (p. [147]-152) and index
著者標目	*Schwarz, Günter, 1959-
件　名	LCSH:Boundary value problems -- Numerical solutions 全ての件名で検索 LCSH:Hodge theory LCSH:Decomposition (Mathematics)
分　類	NDC9:413 LCC:QA3 LCC:QA379 DC20:510 s DC20:515/.353 NDC8:410.8
書誌ID	1000220078
ISBN	3540600167
NCID	BA25424270
巻冊次	ISBN:3540600167
登録日	2009.09.11
更新日	2017.02.18