Stochastic heat equation with infinite dimensional fractional noise: L_{2}-theory
Stochastic heat equation with infinite dimensional fractional noise: L_{2}-theory
In this article we consider the stochastic heat equation in [0, T ] × R d , driven by a sequence (β k ) k of i.i.d.fractional Brownian motions of index H > 1/2 and random multiplication functions (g k ) k .The stochastic integrals are of Hitsuda-Skorohod type and …