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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (Paperback, 2004 ed.) Loot Price: R1,416
Discovery Miles 14 160
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (Paperback, 2004 ed.): Wolfgang Reichel

Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (Paperback, 2004 ed.)

Wolfgang Reichel

Series: Lecture Notes in Mathematics, 1841

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Loot Price R1,416 Discovery Miles 14 160 | Repayment Terms: R133 pm x 12*

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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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1841
Release date: May 2004
First published: 2004
Authors: Wolfgang Reichel
Dimensions: 235 x 155 x 9mm (L x W x T)
Format: Paperback
Pages: 158
Edition: 2004 ed.
ISBN-13: 978-3-540-21839-5
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
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LSN: 3-540-21839-4
Barcode: 9783540218395

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