Heat equation with a general stochastic measure on nested fractals
Probability
2012-08-03 v1
Abstract
A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are proved provided that the spectral dimension of the fractal is less than 4/3.
Keywords
Cite
@article{arxiv.1208.0445,
title = {Heat equation with a general stochastic measure on nested fractals},
author = {Vadym Radchenko and Martina Zähle},
journal= {arXiv preprint arXiv:1208.0445},
year = {2012}
}
Comments
8 pages