Uniqueness theorems for variational problems by the method of transformation groups. Lecture Notes in Mathematics; 1841.

Reichel, Wolfgang:

ISBN 10: 3540218394 / ISBN 13: 9783540218395

Edité par Berlin, Springer, 2004

A propos de cet article

xiii, 152 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04565 9783540218395 Sprache: Englisch Gewicht in Gramm: 550.

N° de réf. du vendeur 2490801

Détails bibliographiques

• Titre: Uniqueness theorems for variational problems by the method of transformation groups. Lecture Notes in Mathematics; 1841.
• Éditeur: Berlin, Springer
• Date de parution: 2004
• Langue: anglais
• ISBN à 10 chiffres: 3540218394
• ISBN à 13 chiffres: 9783540218395
• Reliure: Softcover
• Catalogues du vendeur:
  • SA MATHEMATIK

A propos de ce titre

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.

À propos de l?auteur

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