Uniqueness Theorems For Variational Problems By The Method Of Transformation Groups (Lecture Notes In Mathematics): 1841 - Brossura

Reichel, Wolfgang

 
9783540218395: Uniqueness Theorems For Variational Problems By The Method Of Transformation Groups (Lecture Notes In Mathematics): 1841
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ISBN 10: 3540218394 ISBN 13: 9783540218395
Casa editrice: Springer, 2004

Sinossi

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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Informazioni sull?autore

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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Editore
Springer
Data di pubblicazione
2004
Lingua
Inglese
ISBN 10 
3540218394
ISBN 13 
9783540218395
Rilegatura
Copertina flessibile
Numero di pagine
172
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Hamburg
Germania

Altre edizioni note dello stesso titolo

9783662175231: Uniqueness Theorems for Variational Problems by the Method of Transformation Groups

Edizione in evidenza

ISBN 10:  3662175231 ISBN 13:  9783662175231
Casa editrice: Springer, 2014
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