The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lvy Noise
|Series title:||Lecture Notes in Mathematics Ser.|
|Publication Date:||Oct 2013|
| Book Format:||Paperback|
|List Price:||USD $49.99|
| Book Description: |
This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on...