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Catalogue Information
Field name	Details
Dewey Class	515.96
Title	Hodge Decomposition—A Method for Solving Boundary Value Problems ([EBook]) / by Günter Schwarz.
Author	Schwarz, Günter. , 1959-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1995.
Physical Details	VIII, 164 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1607
ISBN	9783540494034
Summary Note	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.:
Contents note	Analysis of differential forms -- The hodge decomposition -- Boundary value problems for differential forms.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0095978
Links to Related Works	Subject References: Boundary value problems - Numerical solutions . Complex manifolds . Decomposition (Mathematics) . Hodge theory . Manifolds (Mathematics) . Potential theory (Mathematics) . Riemannian manifolds . Authors: Schwarz, Günter. 1959- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.96 .

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Hodge Decomposition—A Method for Solving Boundary Value Problems

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