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Calculus of Variations and Nonlinear Partial Differential Equations
(Englisch)
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005
Luigi Ambrosio & Luis A. Caffarelli & Michael G. Crandall & Lawrence C. Evans & Nicola Fusco

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Calculus of Variations and Nonlinear Partial Differential Equations

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  • Springer Gabler
    in Springer-Verlag GmbH
    Heidelberger Platz 3
    DE-14197 Berlin
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  • 4900292

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With a historical overview by Elvira Mascolo
With a historical overview by Elvira Mascolo|

Includes supplementary material: sn.pub/extras


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. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.



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.




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.




Inhaltsverzeichnis



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.


Klappentext

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. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.




Includes supplementary material: sn.pub/extras

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