Calculus of variations and partial differential equations : topics on geometrical evolution problems and degree theory /

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 scho...

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Bibliographic Details
Main Author: Ambrosio, Luigi
Corporate Authors: SpringerLink (Online service), Summer School on "Calculus of Variations and Partial Differential Equations"
Other Authors: Dancer, E. N. (Edward Norman), 1946-, Buttazzo, Giuseppe, Marino, A., Murthy, M. K. V. (M. K. Venkatesha)
Format: Conference Proceeding eBook
Language:English
Published: Berlin ; New York : Springer, [2000]
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:"The project of editing this book originated in a two-week Summer School on "Calculus of Variations and Partial Differential Equations" which was held in Pisa in September 1996"--Preface.
Electronic resource.
Physical Description:1 online resource (viii, 347 pages) : illustrations
Bibliography:Includes bibliographical references (pages 327-343) and index.
ISBN:9783642571862 (electronic bk.)
3642571867 (electronic bk.)