AuthorAmbrosio, Luigi. author
TitleCalculus of Variations and Nonlinear Partial Differential Equations [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
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2008
Connect tohttp://dx.doi.org/10.1007/978-3-540-75914-0
Descript online resource

SUMMARY

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


CONTENT

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


SUBJECT

  1. Mathematics
  2. Differential equations
  3. partial
  4. Mathematical optimization
  5. Mathematics
  6. Calculus of Variations and Optimal Control; Optimization
  7. Partial Differential Equations