Stochastic parabolic systems with memory terms

old_uid8335
titleStochastic parabolic systems with memory terms
start_date2010/03/12
schedule11h
onlineno
summaryThe existence and uniqueness of solutions for stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization by noise of the deterministic counterpart of the model is studied. In the case of additive noise we prove that the equation generates a random dynamical system in an appropriate phase space which possesses the random pullback attractor.
responsiblesCarlo, Bardet, Cottrell