1.

Record Nr.

UNINA9910483843703321

Autore

Ambrosio Luigi

Titolo

Calculus of Variations and Nonlinear Partial Differential Equations : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005 / / by Luigi Ambrosio, Luis A. Caffarelli, Michael G. Crandall, Lawrence C. Evans, Nicola Fusco ; edited by Bernard Dacorogna, Paolo Marcellini

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008

ISBN

9783540759140

354075914X

Edizione

[1st ed. 2008.]

Descrizione fisica

1 online resource (XI, 206 p.)

Collana

C.I.M.E. Foundation Subseries, , 2946-1820 ; ; 1927

Disciplina

515.64

Soggetti

Mathematical optimization

Calculus of variations

Differential equations

Calculus of Variations and Optimization

Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Transport Equation and Cauchy Problem for Non-Smooth Vector Fields -- Issues in Homogenization for Problems with Non Divergence Structure -- A Visit with the ?-Laplace Equation -- Weak KAM Theory and Partial Differential Equations -- Geometrical Aspects of Symmetrization -- CIME Courses on Partial Differential Equations and Calculus of Variations.

Sommario/riassunto

This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on



the calculus of variations and partial differential equations is contributed by Elvira Mascolo.