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Calculus of Variations and Nonlinear Partial Differential Equations by Bernard Dacorogna, Luigi Ambrosio, Luis A. Caffarelli, Michael G. Crandall, Lawrence C. Evans, Nicola Fusco, Dacorogna, Paolo Marcellini, E. Mascolo

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Calculus of Variations and Nonlinear Partial Differential Equations written by Bernard Dacorogna, Luigi Ambrosio, Luis A. Caffarelli, Michael G. Crandall, Lawrence C. Evans, Nicola Fusco, Dacorogna, Paolo Marcellini, E. Mascolo
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27-July 2, 2005
The Course, just looking at the number of participants (more than 140, one of the largest in the history of the CIME courses), was a great success; most of them were young researchers, some others were well known mathematicians, experts in the field. The high level of the Course is clearly proved by the quality of notes that the speakers presented for this Springer Lecture Notes.
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.

Book Detail :-
Title: Calculus of Variations and Nonlinear Partial Differential Equations
Edition:
Author(s): Bernard Dacorogna, Luigi Ambrosio, Luis A. Caffarelli, Michael G. Crandall, Lawrence C. Evans, Nicola Fusco, Dacorogna, Paolo Marcellini, E. Mascolo
Publisher: Springer
Series: Lecture notes in mathematics
Year: 2008
Pages: 213
Type: PDF
Language: English
ISBN: 3540759131,9783540759133
Country: Switzerland
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About Author :-
The author Bernard Dacorogna is a PHD and Professor Emeritus of Statistics at the University of Florida. He is the author of Advanced Calculus with Applications in Statistics, Second Edition and co-author of Statistical Tests for Mixed Linear Models, all published by Wiley. Dr. Khuri is a member of numerous academic associations, among them the American Statistical Association and the Institute of Mathematical Statistics.

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• Download PDF Vector Valued PDEs and Applications by Bernard Dacorogna, Fusco, Müller, Sverak, Ball, NEW
• Download PDF Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals by Bernard Dacorogna NEW
• Download PDF An Introduction to High-Frequency Finance by Bernard Dacorogna NEW


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Book Contents :- Calculus of Variations and Nonlinear Partial Differential Equations written by Bernard Dacorogna, Luigi Ambrosio, Luis A. Caffarelli, Michael G. Crandall, Lawrence C. Evans, Nicola Fusco, Dacorogna, Paolo Marcellini, E. Mascolo cover the following topics.
1. Transport Equation and Cauchy Problem for Non-Smooth Vector Fields by Luigi Ambrosio
2. Issues in Homogenization for Problems with Non Divergence Structure by Luis Caffarelli, Luis Silvestre
3. A Visit with the 8-Laplace Equation by Michael G. Crandall
4. Weak KAM Theory and Partial Differential Equations by Lawrence C. Evans
5. CIME Courses on Partial Differential Equations and Calculus of Variations by Elvira Mascolo


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