Geometric Measure Theory and the Calculus of Variations - Couverture rigide

Allard, William K.

Couverture rigide

ISBN 10 : 0821814702 ISBN 13 : 9780821814703

Editeur : American Mathematical Society, 1992

Synopsis

These twenty-six papers survey a cross section of current work in modern geometric measure theory and its applications in the calculus of variations. Presently the field consists of a jumble of new ideas, techniques and intuitive hunches; an exchange of information has been hindered, however, by the characteristic length and complexity of formal research papers in higher-dimensional geometric analysis. This volume provides an easier access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.The papers are aimed at analysts and geometers who may use geometric measure-theoretic techniques, and they require a mathematical sophistication at the level of a second year graduate student. The papers included were presented at the 1984 AMS Summer Research Institute held at Humboldt State University. A major theme of this institute was the introduction and application of multiple-valued function techniques as a basic new tool in geometric analysis, highlighted by Almgren's fundamental paper Deformations and multiple-valued functions. Major new results discussed at the conference included the following: Allard's integrality and regularity theorems for surfaces stationary with respect to general elliptic integrands; Scheffer's first example of a singular solution to the Navier-Stokes equations for a fluid flow with opposing force; and, Hutchinson's new definition of the second fundamental form of a general varifold.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1992
• Langue: anglais
• ISBN 10: 0821814702
• ISBN 13: 9780821814703
• Reliure: Relié
• Éditeur: Almgren Frederick J. Jr.
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible