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

Reichel, Wolfgang

 
9783540218395: Uniqueness Theorems for Variational Problems by the Method of Transformation Groups: 1841 (Lecture Notes in Mathematics, 1841)
Softcover
ISBN 10: 3540218394 ISBN 13: 9783540218395
Publisher: Springer, 2004

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.

"synopsis" may belong to another edition of this title.

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

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2004
Language
English
ISBN 10 
3540218394
ISBN 13 
9783540218395
Binding
Paperback
Number of pages
172

Other Popular Editions of the Same Title

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

Featured Edition

ISBN 10:  3662175231 ISBN 13:  9783662175231
Publisher: Springer, 2014
Softcover