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arXiv · 2309.04436

Laplacian with singular drift in a critical borderline case

Damir Kinzebulatov
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Abstract

We establish well-posedness and regularity for parabolic diffusion equation 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 $L^p$ and $L^\infty$.

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Damir Kinzebulatov. 2023-09-08. Laplacian with singular drift in a critical borderline case. https://arxiv.org/abs/2309.04436

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