Name: hodge decomposition - a method for solving boundary value problems
SKU: 3485976
Price: 45.09 EUR
Availability: InStock
Author: schwarz

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portada hodge decomposition - a method for solving boundary value problems

hodge decomposition - a method for solving boundary value problems

Type

Physical Book

Publisher

Springer

Author

schwarz

Language

English

Pages

155

ISBN

3540600167

ISBN13

9783540600169

Synopsis "hodge decomposition - a method for solving boundary value problems"

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.