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

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 نشر من قبل Mohamed Majdoub
 تاريخ النشر 2020
  مجال البحث
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We study the Hardy-Henon parabolic equations on $mathbb{R}^{N}$ ($N=2, 3$) under the effect of an additive fractional Brownian noise with Hurst parameter $H>maxleft(1/2, N/4right).$ We show local existence and uniqueness of a mid $L^{q}$-solution under suitable assumptions on $q$.

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