Local $L^{p}$-solution for semilinear heat equation with fractional noise
Analysis of PDEs
2019-02-19 v1 Probability
Abstract
We study the -solutions for the semilinear heat equation with unbounded coefficients and driven by a infinite dimensional fractional Brownian motion with self-similarity parameter . Existence and uniqueness of local mild solutions are showed.
Keywords
Cite
@article{arxiv.1902.06084,
title = {Local $L^{p}$-solution for semilinear heat equation with fractional noise},
author = {Jorge Clarke and Christian Olivera},
journal= {arXiv preprint arXiv:1902.06084},
year = {2019}
}