Impact of noise on parabolic equations
Probability
2019-11-13 v1
Abstract
In this short paper, we focus on the blowup phenomenon of stochastic parabolic equations. We first discuss the probability of the event that the solutions keep positive. Then, the blowup phenomenon in the whole space is considered. The probability of the event that the solutions blow up in finite time is given. Lastly, we obtain the probability of the event that blowup time of stochastic parabolic equations large than or less than the deterministic case.
Keywords
Cite
@article{arxiv.1911.04960,
title = {Impact of noise on parabolic equations},
author = {Guangying Lv and Jinlong Wei},
journal= {arXiv preprint arXiv:1911.04960},
year = {2019}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:1902.07389