{"product_id":"the-dynamics-of-nonlinear-reaction-diffusion-equations-with-small-levy-noise-von-arnaud-debussche-michael-hogele-peter-imkeller","title":"The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise","description":"\n                                \n                \u003cp\u003eThis 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.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319008271\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783319008271","offer_id":39420360589405,"sku":"9783319008271","price":37.44,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6f617030-b4e0-4577-836b-c0237d695868.jpg?v=1772085008","url":"https:\/\/shop.autorenwelt.de\/products\/the-dynamics-of-nonlinear-reaction-diffusion-equations-with-small-levy-noise-von-arnaud-debussche-michael-hogele-peter-imkeller","provider":"Autorenwelt Shop","version":"1.0","type":"link"}