Wolfgang Reichel
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Paperback Engels 2004 2004e druk 9783540218395Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783540218395
Taal:Engels
Bindwijze:paperback
Aantal pagina's:158
Uitgever:Springer Berlin Heidelberg
Druk:2004
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Inhoudsopgave
Introduction.- Uniqueness of Critical Points (I).- Uniqueness of Citical Pints (II).- Variational Problems on Riemannian Manifolds.- Scalar Problems in Euclidean Space.- Vector Problems in Euclidean Space.- Fréchet-Differentiability.- Lipschitz-Properties of ge and omegae.
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