The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise
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. (lib)
Mehr anzeigenNicht mehr verfügbar
Weitere Infos zum Zustand
23,48 €
Preise inkl. MwSt. zzgl. Versandkosten
14 Tage Zufriedenheitsgarantie
Risikofrei bestellen
Geprüfte Gebrauchtware
Einzeln geprüft
Produktinformationen "The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise"
Anmelden
Versandkostenfrei ab 29 €
14 Tage Rückgaberecht - Kein Risiko
Geprüfte Gebrauchtware