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CIME - Summer School "Hamilton-Jacobi equations: approximations, numerical analysis and applications", Cetraro (Italy), August 29 - September 3, 2011

CIME - Summer School in applied mathematics Hamilton-Jacobi equations: approximations, numerical analysis and applications Cetraro (CS) - August 29 - September 3, 2011

A limited number of young researchers  will be given the opportunity to attend the Summer School and offered a grant to cover travel and/or accommodation.  If you want to apply for a grant, please complete the application form  by the (hard) deadline of May 15, 2011.

The (previsionnal) programme can be download here. More information (location, registration, ...) is available online, at the website of the summer school.

 

Course Directors:

 

Tutorials:

  1. Models of mean field, Hamilton-Jacobi-Bellman Equations and numerical methods   (Yves Achdou)
  2. First-order Hamilton-Jacobi Equations and Applications  (Guy Barles)
  3. Basic properties of viscosity solutions and some aspects of weak KAM theory (Hitoshi Ishii)
  4. Idempotent/Tropical Analysis and the Hamilton-Jacobi-Bellman Equations (Grigory L. Litvinov)
  5. Homogenization and Approximation for Hamilton-Jacobi equations (Panagiotis E. Souganidis)

 

The courses [2] and [3] will be mainly devoted to an introduction to the theory. The course [4] will introduce idempotent mathematics to evidence analogs between max (or min) non linearity in partial differential equations. The courses [1] and [5] will be more advanced (so they will follow in the time schedule [2] and [3]) and they will be devoted to applications and numerical results. The final version of the texts of the lectures will be published in the Springer Lecture Notes in Mathematics, CIME Subseries. A preliminar version (slides online) during the course will be helpful to the understanding.

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