The strong Feller property of the open KPZ equation

Autor:	Knizel, Alisa, Matetski, Konstantin
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematical Physics Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We prove that the semigroup generated by the open KPZ equation on a bounded spatial interval with Neumann boundary conditions parametrized by real parameters u and v enjoys the strong Feller property. From this we conclude that for u+v>0, min(u,v)>-1 the stationary measure constructed in Corwin and Knizel (arXiv:2103.12253) is the unique stationary measure for the equation. It is expected that the same conclusion holds for all values of u and v.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.04466 Zobrazit plný text záznamu View this record from Arxiv