Local $L^p$-solution for semilinear heat equation with fractional noise

Abstract

We study the $L^p$-solutions for the semilinear heat equation with unbounded coefficients and driven by a infinite dimensional fractional Brownian motion with self-similarity parameter $H>1/2$. Existence and uniqueness of local mild solutions are showed.

References in corpus (1)

• Analysis of the Rosenblatt process