| 书目名称 | Hodge Decomposition - A Method for Solving Boundary Value Problems |
| 编辑 | Günter Schwarz |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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 boundary 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. |
| 出版日期 | Book 1995 |
| 关键词 | Boundary value problem; Hodge theory; Vector field; differential equation; manifold; partial differential |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0095978 |
| isbn_softcover | 978-3-540-60016-9 |
| isbn_ebook | 978-3-540-49403-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1995 |
发表于 2025-3-21 16:18:34
