Calculus of Variations and Geometric Evolution Problems

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, June 15-22, 1996
1999
ISBN: 978-3-540-65977-8
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 298 Seiten, Format (B × H): 155 mm x 233 mm, Gewicht: 466 g

Reihe: C.I.M.E. Foundation Subseries

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Zielgruppe

Research

Autoren/Hrsg.

Bethuel, F.

Huisken, G.

Mueller, S.

Steffen, K.

Hildebrandt, S.

Struwe, M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Variational methods for Ginzburg-Landau equations.- Geometric evolution equations for hypersurfaces.- Variational models for microstructure and phase transitions.- Parametric surfaces of prescribed mean curvature.