Stochastic reaction-diffusion equations with continuous reaction
Ralf Manthey, Katrin Mittmann · Stochastics and stochastics reports · 1994
We study stochastic parabolic differential equations with an additive (i.e. state independent) Gaussian noise which is white in time and coloured in space. For continuous reaction functions we show the existence of a solution under quite general conditions. Our method is also applicable in the white noise case