Well-posedness for Hardy-Hénon parabolic equations with fractional Brownian noise

2020/06/15 by Majdoub, Mohamed, Mliki, Ezzedine
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2006.08787

Abstract

We study the Hardy-Hénon parabolic equations on ℝ^N (N=2, 3) under the effect of an additive fractional Brownian noise with Hurst parameter H>max(1/2, N/4). We show local existence and uniqueness of a mid L^q-solution under suitable assumptions on q.

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