Hodge Decomposition - A Method for Solving Boundary Value Problems - Couverture souple

Schwarz, Günter

Couverture souple

ISBN 10 : 3540600167 ISBN 13 : 9783540600169

Editeur : Springer, 2009

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 3540600167
• ISBN 13: 9783540600169
• Reliure: Broché
• Nombre de pages: 172
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne