Hodge Decomposition - A Method for Solving Boundary Value Problems: 1607 (Lecture Notes in Mathematics) - Tapa blanda

Schwarz, Günter

 
9783540600169: Hodge Decomposition - A Method for Solving Boundary Value Problems: 1607 (Lecture Notes in Mathematics)
Tapa blanda
ISBN 10: 3540600167 ISBN 13: 9783540600169
Editorial: Springer, 2009

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2009
Idioma
Inglés
ISBN 10 
3540600167
ISBN 13 
9783540600169
Encuadernación
Tapa blanda
Número de páginas
172
Contacto del fabricante
no disponible
Persona responsable
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