Geometric Measure Theory and the Calculus of Variations (Proceedings of Symposia in Pure Mathematics)

William K. Allard

ISBN 10: 0821814702 / ISBN 13: 9780821814703

Edité par American Mathematical Society, 1986

A propos de cet article

Type: Book N.B. Small plain label to front paste down. Corners of boards a little bumped.

N° de réf. du vendeur 053265

Détails bibliographiques

• Titre: Geometric Measure Theory and the Calculus of Variations (Proceedings of Symposia in Pure Mathematics)
• Éditeur: American Mathematical Society
• Date de parution: 1986
• Langue: anglais
• ISBN à 10 chiffres: 0821814702
• ISBN à 13 chiffres: 9780821814703
• Reliure: Cloth
• État de l'article: Very Good
• État de la jaquette: No d/j as Published
• Catalogues du vendeur:
  • MATHEMATICS

A propos de ce titre

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.