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Homogenization of convex-concave Hamilton-Jacobi Equations

ARGOMENTI: Convegni

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Lunedi' 6 ottobre in aula 2AB/45 di Torre Archimede alle ore 11:00 il professor Martino Bardi terra' un seminario dal titolo "Homogenization of convex-concave Hamilton-Jacobi Equations".

-Abstract
After a short introduction to homogenization of fully nonlinear PDEs, of 1st and 2nd order, I will review some known results for Hamilton-Jacobi equations with coercive and non-coercive Hamiltonian. The new results, joint work with Gabriele Terrone, are about a class of eikonal-type equations with Hamiltonian convex in some variables and concave in the others, motivated by the theory of differential games. I will give examples of non-homogenization and results stating the homogenization in two cases: strongly interacting fast variables and decoupled fast variables.

Rif. int. M. Bardi, P. Mannucci, A. Cesaroni

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