Calculus of variations and partial differential equations
Subtitle: topics on geometrical evolution problems and degree theory
By: L. Ambrosio, N. Dancer ; edited by G. Buttazzo, A. Marino, M.K.V. Murthy.
Contributors: Dancer, E. N. 1946-; Buttazzo, Giuseppe.; Marino, A.; Murthy, M. K. V.; Summer School on "Calculus of Variations and Partial Differential Equations" (1996 : Pisa, Italy)
Publisher: Springer
Published: 2000
Place of publication: Berlin; New York
Language: eng
Number of pages: 347
Subjects: Calculus of variations; Topological degree; Differential equations, Partial; Mathematical physics
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.
Notes: Includes bibliographical references (p. 327-343) and index.
"The project of editing this book originated in a two-weeek Summer School on "Calculus of Variations and Partial Differential Equations" which was held in Pisa in September 1996"--Preface.