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arXiv · 2401.03957

Genuinely sharp estimates for heat kernels on Weyl chambers

Krzysztof Stempak
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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 $I_2(3)$ and $I_2(4)$.

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Krzysztof Stempak. 2024-01-08. Genuinely sharp estimates for heat kernels on Weyl chambers. https://doi.org/10.1016/j.jde.2024.05.052

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