On a stochastic partial differential equation with non-local diffusion
Abstract
In this paper, we prove existence, uniqueness and regularity for a class of stochastic partial differential equations with a fractional Laplacian driven by a space-time white noise in dimension one. The equation we consider may also include a reaction term.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 2005
- DOI:
- arXiv:
- arXiv:math/0510107
- Bibcode:
- 2005math.....10107A
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematics - Probability;
- Primary: 60H15;
- Secondary: 35R60
- E-Print:
- Potential Analysis 27 (2007) 183--197