Titlebook: Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications; Cetraro, Italy 2011, Yves Achdou,Guy Barles,Grigory L. Litv

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https://doi.org/10.1057/9781403907417we consider the large time behavior of periodic solutions of Hamilton–Jacobi Equations: we describe recents results obtained by using partial differential equations type arguments. This part is complementary of the course of H. Ishii which presents the dynamical system approach (“weak KAM approach”).

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https://doi.org/10.1007/978-1-349-20298-0s to optimization problems on graphs are discussed. Universal algorithms for numerical algorithms in idempotent mathematics are investigated. In particular, an idempotent version of interval analysis is briefly discussed.

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,Idempotent/Tropical Analysis, the Hamilton–Jacobi and Bellman Equations,s to optimization problems on graphs are discussed. Universal algorithms for numerical algorithms in idempotent mathematics are investigated. In particular, an idempotent version of interval analysis is briefly discussed.

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International Issues in Adult Educationntly introduced by J-M. Lasry and P-L. Lions. They may lead to systems of evolutive partial differential equations coupling a forward Bellman equation and a backward Fokker–Planck equation. The forward-backward structure is an important feature of this system, which makes it necessary to design new

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https://doi.org/10.1057/9781403907417n, stability and comparison results (in the continuous and discontinuous frameworks), boundary conditions in the viscosity sense, Perron’s method, Barron–Jensen solutions . etc. We use a running example on exit time control problems to illustrate the different notions and results. In a second part,