English

Genuinely sharp estimates for heat kernels on Weyl chambers

Analysis of PDEs 2024-08-08 v1 Functional Analysis

Abstract

We consider heat kernels on Weyl chambers corresponding to Laplacians subject to mixed Dirichlet-Neumann boundary conditions imposed on the boundary. Using purely analytic tools we prove genuinely sharp two-sided global estimates in the frameworks of orthogonal root systems and the dihedral root systems I2(3)I_2(3) and I2(4)I_2(4).

Keywords

Cite

@article{arxiv.2401.03957,
  title  = {Genuinely sharp estimates for heat kernels on Weyl chambers},
  author = {Krzysztof Stempak},
  journal= {arXiv preprint arXiv:2401.03957},
  year   = {2024}
}

Comments

35 pages, 2 figure

R2 v1 2026-06-28T14:11:19.481Z