Seminario del 2015

Maggio
14
2015
Stefanie Sonner (Felix-Klein-Zentrum für Mathematik, Technische Universität Kaiserslautern)
Global attractors for semilinear parabolic problems involving $X$-elliptic operators
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
analisi matematica
We consider semilinear parabolic equations involving an operator that is $X$-elliptic with respect to a family of vector fields $X$ with suitable properties. The vector fields determine the natural functional setting associated to the problem and the admissible growth of the non-linearity. We prove the global existence of solutions and characterize their longtime behavior. In particular, we show the existence and finite fractal dimension of the global attractor of the generated semigroup and the convergence of solutions to an equilibrium solution when time tends to infinity. These results were obtained in collaboration with Alessia E. Kogoj.
organizzato da: Alessia Kogoj per Seminario Pini

indietro