Authors:
It contains a quick and up to date introduction to viscosity solutions of Hamilton-Jacobi equations for graduate students or young researchers.
Two approaches to large time behavior of periodic solutions of Hamilton-Jacobi Equations are given: PDE and weak KAM theory.
Contributions on hot topics like for example numerical for mean field games should be of interest for many researchers
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2074)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- 49-02, 35F21, 49L25, 35B40, 49N70, 91A13, 14T05,15A80
- Hamilton Jacobi Bellman equations
- Large time behavior
- Mean field games
- Tropical and idempotent analysis
- partial differential equations
Authors and Affiliations
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UMR 7598, Lab. Jacques-Louis Lions - UPMC, Paris, France
Yves Achdou
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et Physique Théorique, UMR 6083, Laboratoire de Mathématiques, TOURS, France
Guy Barles
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Department of Mathematics, Waseda University, Shinjuku-ku, Tokyo, Japan
Hitoshi Ishii
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Institution, for Information Transmission Problems, Russsian Academy of Sciences, Moscow, Russia
Grigory L. Litvinov
Bibliographic Information
Book Title: Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications
Book Subtitle: Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou
Authors: Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-36433-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-36432-7Published: 03 June 2013
eBook ISBN: 978-3-642-36433-4Published: 24 May 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XV, 301
Number of Illustrations: 9 b/w illustrations, 2 illustrations in colour
Topics: Calculus of Variations and Optimization, Differential Equations, Computational Mathematics and Numerical Analysis, Game Theory, Dynamical Systems, Difference and Functional Equations