.
"Cham, Switzerland" .
.
.
"Printed edition:" .
.
.
.
.
.
"Lévy processes"@en .
.
"Debussche" .
"Arnaud" .
"Arnaud Debussche" .
.
.
.
"2016-10-03" .
.
.
"9783319008288" .
"3319008285" .
.
"1617-9692" .
.
"Lecture notes in mathematics," .
.
.
"Lecture notes in mathematics (Springer-Verlag) ;" .
.
.
.
.
.
.
.
"2013" .
.
"en" .
"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 the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states."@en .
"The dynamics of nonlinear reaction-diffusion equations with small lévy noise"@en .
.
.
.
.
.
.
"859522804" .
.
.
.
.
.
"859522804" .
"Electronic books"@en .
.
"2013" .
.
.
.
.
"sz" .
.
"Stochastic partial differential equations"@en .
.
"Springer" .