Small ball probabilities for the fractional stochastic heat equation driven by a colored noise

We consider the fractional stochastic heat equation on the d-dimensional torus T-d:=[-1/2,1/2](d), d >= 1, with periodic boundary conditions: partial derivative(t)u(t,x)= -(-Delta)(alpha/2)u(t,x)+sigma(t,x,u)F-center dot(t,x)x is an element of T-d,t is an element of R+, where alpha is an element of (1,2] and F-center dot(t,x) is a generalized Gaussian noise which is white in time and colored in space. Assuming that sigma is Lipschitz in u and uniformly bounded, we estimate small ball probabilities for the solution u when u(0,x)equivalent to 0.