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Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (Lecture Notes in Mathematics, 1841) - Softcover

 
9783540218395: Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (Lecture Notes in Mathematics, 1841)

Synopsis

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.

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About the Author

Studies:
October 1987 -- January 1994 Diplom studies in mathematics at the University of Karlsruhe
October 1991 -- October 1992 Master of Science in nonlinear mathematics, University of Bath (U.K.)

Phd: January 1996 University of Karlsruhe

Habilitation: October 2001 University of Basel

Positions held:
March 1994 -- June 1998 Scientific collaborator, Math. Institute, Univ. of Karlsruhe
October 1998 -- September 2002 Assistant, Math. Institute, University of Basel
Sommersemester 2000: Lecturer at the Univ. of Zurich
Wintersemester 2002/2003: Substitute professor at the Univ. of Giessen
Since April 2003: Substitute professor at the Univ. of Basel

Stays at other institutions:
October 1996 -- September 1998: postdoc at the Univ. of  Minnesota (USA) and Univ. of Cologne with DFG-grant
March,July, August 1999: visitor at the Univ. of Cardiff  (U.K) with EPSRC-grant

Awards: April 1997: "Klaus-Tschira Price for comprehensible science" awarded for the doctoral thesis by the Univ. of Karlsruhe

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  • PublisherSpringer
  • Publication date2004
  • ISBN 10 3540218394
  • ISBN 13 9783540218395
  • BindingPaperback
  • LanguageEnglish
  • Number of pages172

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Kartoniert / Broschiert. Condition: New. Includes supplementary material: sn.pub/extrasStudies: October 1987 -- January 1994 Diplom studies in mathematics at the University of KarlsruheOctober 1991 -- October 1992 Master of Science in nonlinear mathematics, University of Bath. Seller Inventory # 4885232

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