# SPD

## Seminar

### Approximation of quasi-potentials and exit problems for multidimensional RDE's with noise

Seminar Room 1, Newton Institute

#### Abstract

We deal with a class of reaction-diffusion equations in space dimension d > 1 perturbed by a Gaussian noise which is white in time and colored in space. We assume that the noise has a small correlation radius d, so that it converges to the white noise, as d goes to zero. By using arguments of Gamma Convergence, we prove that, under suitable assumptions, the quasi potential converges to the quasi-potential corresponding to space-time white noise. We apply these results to the asymptotic estimate of the mean of the exit time of the solution of the stochastic problem from a basin of attaction of an asymptotically stable point for the unperturbed problem.#### Video

**The video for this talk should appear here if JavaScript is enabled.**

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.