Laplacian with singular drift in a critical borderline case

D. Kinzebulatov

Mathematische Nachrichten, 2025, vol. 298, issue 2, 511-526

Abstract: We establish well‐posedness and regularity results for parabolic diffusion equation on the torus in the case when the singularities of a general drift reach the critical magnitude. The latter dictates the need to work in an Orlicz space situated between all Lp$L^p$ and L∞$L^\infty$.

Date: 2025
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https://doi.org/10.1002/mana.202400098

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