Department of Mathematical Sciences Michel Chipot, University of Zurich "Asymptotic behaviour for a class of nonlocal problems" ABSTRACT: We propose new techniques to study the asymptotic behaviour of problems of the type:
where
and , , is some continuous function. cm In particular we show that finding the associated stationary solutions to (1) reduces to find the solutions of an equation in . Using some Lyapunov functions or some direct methods we are then able to establish various convergence results. TITLE: ``Asymptotic behaviour for a class of nonlocal problems" ABSTRACT: We propose new techniques to study the asymptotic behaviour of problems of the type:
where
and , , is some continuous function. cm In particular we show that finding the associated stationary solutions to (1) reduces to find the solutions of an equation in . Using some Lyapunov functions or some direct methods we are then able to establish various convergence results.
