抄録
We study a stochastic parabolic evolution equation of the form dX + AXdt = F(t)dt + G(t)dW(t) in Banach spaces. Existence of mild and strict solutions and their space-time regularity are shown in both the deterministic and stochastic cases. Abstract results are applied to a nonlinear stochastic heat equation.
本文言語 | 英語 |
---|---|
ページ(範囲) | 751-785 |
ページ数 | 35 |
ジャーナル | Communications on Pure and Applied Analysis |
巻 | 17 |
号 | 3 |
DOI | |
出版ステータス | 出版済み - 5 2018 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics