Wolfgang Reichel

Uniqueness Theorems for Variational Problems by the Method of Transformation Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 158
• Erscheinungstermin: 30. April 2004
• Englisch
• ISBN-13: 9783540409151
• Artikelnr.: 54129258

Autorenporträt

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