Calculus of variations and partial differential equations : topics on geometrical evolution problems and degree theory / edited by G. Buttazzo, A. Marino, M.K.V. Murthy.

Format:

Book

Conference/Event

Contributor:

Buttazzo, Giuseppe.

Marino, A.

Murthy, M. K. V. (M. K. Venkatesha)

Conference Name:

Summer School on "Calculus of Variations and Partial Differential Equations" (1996 : Pisa, Italy)

Language:

English

Subjects (All):

Calculus of variations.

Topological degree.

Differential equations, Partial.

Mathematical physics.

Physical Description:

viii, 347 pages : illustrations ; 24 cm

Place of Publication:

Berlin ; New York : Springer, [2000]

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 PDEs respectively), 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:

"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"--Pref.

Includes bibliographical references (pages 327-343) and index.

ISBN:

3540648038

OCLC:

40559734