English

Fractal Mehler kernels and nonlinear geometric flows

Analysis of PDEs 2026-01-01 v1

Abstract

In this paper we introduce a two-parameter family of Mehler kernels and connect them to a class of Baouendi-Grushin flows in fractal dimension. We also highlight a link with a geometric fully nonlinear equation and formulate two questions.

Cite

@article{arxiv.2512.23830,
  title  = {Fractal Mehler kernels and nonlinear geometric flows},
  author = {Nicola Garofalo},
  journal= {arXiv preprint arXiv:2512.23830},
  year   = {2026}
}
R2 v1 2026-07-01T08:45:00.104Z