Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory

Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory
ISBN-10
3642571867
ISBN-13
9783642571862
Series
Calculus of Variations and Partial Differential Equations
Category
Mathematics
Pages
348
Language
English
Published
2012-12-06
Publisher
Springer Science & Business Media
Authors
Luigi Ambrosio, Norman Dancer

Description

At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

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