English

Quantitative estimates for flows of regular Lagrangian flows for H\"ormander singular kernels and LD vector fields

Analysis of PDEs 2025-10-16 v1 Dynamical Systems

Abstract

In this paper, we obtain quantitative estimates of regular Lagrangian flows associated to vector fields whose derivative can be written as convolution of a fundamental singular kernel satisfying the ``H\"ormander'' condition convoluted with summable function in spacetime.

Keywords

Cite

@article{arxiv.2510.13690,
  title  = {Quantitative estimates for flows of regular Lagrangian flows for H\"ormander singular kernels and LD vector fields},
  author = {Henrique Borrin},
  journal= {arXiv preprint arXiv:2510.13690},
  year   = {2025}
}

Comments

15 pages

R2 v1 2026-07-01T06:39:13.927Z