Well-posedness and global existence for Hardy--Hénon parabolic equations in Herz spaces

2026/07/21 by Douadi Drihem
Mathematics · #math.AP

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Abstract

In this paper, we study the Hardy-Hénon parabolic equation ∂_t u=Δu+a|x|^-γ|u|^βu, t>0, x∈ℝⁿ∖\0\, β>0, a∈ℝ, under suitable assumptions on the parameter γ. We establish the local and global well-posedness of mild solutions in homogeneous Herz spaces.

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