Section: New Results

Asymptotic first exit times of the Chafee-Infante equation with small heavy tailed noise

Participant : Arnaud Debussche.

Motivated by paleoclimatological issues, we determine in [26] asymptotic

first exit times for the Chafee-Infante equation forced by heavy-tailed Levy diffusions from reduced domains of attraction in the limit of small intensity. We show that in contrast to the case of Gaussian diffusion the expected first exit times are polynomial in terms of the intensity.