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SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Mercoledì 4 Novembre 2015 alle ore 14:30 in Aula 1BC45, Maria del Mar Gonzalez (UPC Barcelona) terrà un seminario dal titolo "Nonlocal equations on manifolds".
We consider a nonlocal diffusion problem on a manifold. This kind of equations can model diffusions when there are long range effects and have been widely studied in Euclidean space. We first prove existence and uniqueness of solutions, but we will soon concentrate on the long time behavior. While on compact manifolds it is governed by the spectral properties of the operator, on hyperbolic space, which is the model case of an unbounded manifold, the long time asymptotics presents a different and interesting behavior.
This is joint work with C. Bandle, M. Fontelos and N. Wolanski.
Rif. Int. M. Bardi, C. Marchi, D. Castorina.