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math.PR2013★ 31 cited
Intermittency for the wave and heat equations with fractional noise in time
Raluca M. Balan, Daniel Conus
In this article, we consider the stochastic wave and heat equations driven by a Gaussian noise which is spatially homogeneous and behaves in time like a fractional Brownian motion…
math.PR2013
A note on intermittency for the fractional heat equation
Raluca Balan, Daniel Conus
The goal of the present note is to study intermittency properties for the solution to the fractional heat equation $$\frac{\partial u}{\partial t}(t,x) = -(-Δ)^{β/2} u(t,x) + u(t,x…