Geometric Measure Theory and the Calculus of Variations is popular PDF and ePub book, written by Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 Humbol in 1986, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometric Measure Theory and the Calculus of Variations can be Read Online from any device for your convenience.
Geometric Measure Theory and the Calculus of Variations Book PDF Summary
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.
Detail Book of Geometric Measure Theory and the Calculus of Variations PDF
- Author : Summer Institute on Geometric Measure Theory and the Calculus of Variations (1984 Humbol
- Release : 26 June 1986
- Publisher : American Mathematical Soc.
- ISBN : 9780821814703
- Genre : Mathematics
- Total Page : 464 pages
- Language : English
- PDF File Size : 11,8 Mb
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