Random perturbations of reaction-diffusion equations: the quasideterministic approximation
Random perturbations of reaction-diffusion equations: the quasideterministic approximation
Random fields ue(t,x) = (u\(t,x),... ,uen(t,x)), defined as the solutions of a system of the PDE due.-^ = Lku% + h(x;u\,...,v?n) + ee.k(t,x) are considered.Here L/t are second-order linear elliptic operators, ç/t are Gaussian white-noise fields, independent for different k, and e is a small parameter.The most attention is given …