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Well-posedness for Hardy-Henon parabolic equations with fractional Brownian noise
Journal article   Peer reviewed

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

Mohamed Majdoub and Ezzedine Mliki
Analysis and mathematical physics, Vol.11(1)
01/03/2021
DOI: https://doi.org/10.1007/s13324-020-00442-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the Hardy-Henon parabolic equations on RN (N=2 or 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 Lq-solution under suitable assumptions on q.

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