Regularity for parabolic equations with singular non-zero divergence vector fields

2022/05/10 by Damir Kinzebulatov, Kinzebulatov, Damir, Yuliy A. Semënov +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2205.05169

openalex publication_date 2022/05/10 · openalex created_date 2022/05/22 · openalex updated_date 2026/08/01

Abstract

We establish two-sided Gaussian bounds on the heat kernel of divergence-form parabolic equation with singular time-inhomogeneous vector field satisfying some minimal assumptions.

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