Small ball probabilities for the stochastic heat equation with colored noise

We consider the stochastic heat equation on the 1-dimensional torus T := [-1, 1] with periodic boundary conditions: partial derivative(t) u(t-x) = partial derivative(2)(x) u(t-x) + sigma(t, x, u) (F)over dot (t, x), x is an element of T, t is an element of R+, where (F)over dot (t, x) is a generalized Gaussian noise, which is white in time but 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.