Calculus of Variations and Partial Differential Equations
Author | : Luigi Ambrosio |
Publisher | : Springer Science & Business Media |
Total Pages | : 347 |
Release | : 2012-12-06 |
ISBN-10 | : 9783642571862 |
ISBN-13 | : 3642571867 |
Rating | : 4/5 (62 Downloads) |
Book excerpt: 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.