Regularity of the law of solutions to the stochastic heat equation with non-Lipschitz reaction term

Autor:	Salins, Michael, Tindel, Samy
Rok vydání:	2023
Předmět:	Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	We prove the existence of density for the solution to the multiplicative semilinear stochastic heat equation on an unbounded spatial domain, with drift term satisfying a half-Lipschitz type condition. The methodology is based on a careful analysis of differentiability for a map defined on weighted functional spaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.10678 Zobrazit plný text záznamu View this record from Arxiv