Calculus of Variations and Nonlinear Partial Differential Equations

Ambrosio, Luigi.

Calculus of Variations and Nonlinear Partial Differential Equations With a historical overview by Elvira Mascolo / [electronic resource] : With a historical overview by Elvira Mascolo by Luigi Ambrosio, Luis Caffarelli, Michael G. Crandall, Lawrence C. Evans, Nicola Fusco ; edited by Bernard Dacorogna, Paolo Marcellini. - XI, 206 p. online resource. - C.I.M.E. Foundation Subseries ; 1927 . - C.I.M.E. Foundation Subseries ; 1927 .

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.

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.

9783540759140

10.1007/978-3-540-75914-0 doi


Mathematical optimization.
Differential equations, partial.
Calculus of Variations and Optimal Control; Optimization.
Partial Differential Equations.

QA315-316 QA402.3 QA402.5-QA402.6

515.64
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