Uniqueness Theorems for Variational Problems by the Method of Transformation Groups 1

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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups

Name: Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Price: 539 SEK
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Author: Wolfgang Reichel
ISBN: 9783540218395

Wolfgang Reichel

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158 sidor
2004

A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity.

Författare: Wolfgang Reichel
Illustratör: Bibliographie
Format: Pocket/Paperback
ISBN: 9783540218395
Språk: Engelska
Antal sidor: 158
Utgivningsdatum: 2004-05-01
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K