English

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

Analysis of PDEs 2023-11-22 v3 Probability

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.

Keywords

Cite

@article{arxiv.2205.05169,
  title  = {Regularity for parabolic equations with singular non-zero divergence vector fields},
  author = {Damir Kinzebulatov and Yuliy A. Semenov},
  journal= {arXiv preprint arXiv:2205.05169},
  year   = {2023}
}

Comments

Some minor changes in presentation, fixed typos

R2 v1 2026-06-24T11:13:39.589Z