Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory
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Bibliographic Details
Main Author: Ambrosio, Luigi (Author)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2000
Subjects:
Links:https://doi.org/10.1007/978-3-642-57186-2
Item Description:The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely 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
Physical Description:1 Online-Ressource (IX, 347p)
ISBN:9783642571862
9783540648031
DOI:10.1007/978-3-642-57186-2