Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise
classification
🧮 math.PR
keywords
drivenequationfractionalgaussianheatnoiserepresentationsolution
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This paper studies the stochastic heat equation driven by time fractional Gaussian noise with Hurst parameter $H\in(0,1/2)$. We establish the Feynman-Kac representation of the solution and use this representation to obtain matching lower and upper bounds for the $L^p(\Omega)$ moments of the solution.
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