Laplacian with singular drift in a critical borderline case

2023/09/08 by Kinzebulatov, Damir
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)

paper · doi:10.48550/arxiv.2309.04436

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^∞.

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