On the law of the solution to a stochastic heat equation with fractional noise in time

Details On the law of the solution to a stochastic heat equation with fractional noise in time On the law of the solution to a stochastic heat equation with fractional noise in time

2011-10-12

arxiv.org/abs/1110.2597v1

Mathematics

Probability

Scientific paper

We study the law of the solution to the stochastic heat equation with
additive Gaussian noise which behaves as the fractional Brownian motion in time
and is white in space. We prove a decomposition of the solution in terms of the
bifractional Brownian motion.

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