Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 751-785 |
Number of pages | 35 |
Journal | Communications on Pure and Applied Analysis |
Volume | 17 |
Issue number | 3 |
DOIs | |
Publication status | Published - May 2018 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics