Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorSchwarz, Gรผnter. author
TitleHodge Decompositionโ{128}{148}A Method for Solving Boundary Value Problems [electronic resource] / by Gรผnter Schwarz
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1995
Connect tohttp://dx.doi.org/10.1007/BFb0095978
Descript VIII, 164 p. online resource

SUMMARY

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


CONTENT

Analysis of differential forms -- The hodge decomposition -- Boundary value problems for differential forms


Mathematics Potential theory (Mathematics) Manifolds (Mathematics) Complex manifolds Mathematics Potential Theory Manifolds and Cell Complexes (incl. Diff.Topology)



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram