TY  - BOOK
AU  - Schwarz,Günter
ED  - SpringerLink (Online service)
TI  - Hodge Decomposition—A Method for Solving Boundary Value Problems
T2  - Lecture Notes in Mathematics,
SN  - 9783540494034
AV  - QA404.7-405 
U1  - 515.96 23
PY  - 1995///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Potential theory (Mathematics)
KW  - Cell aggregation
KW  - Potential Theory
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
N1  - Analysis of differential forms -- The hodge decomposition -- Boundary value problems for differential forms
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0095978
ER  -