Genuinely sharp estimates for heat kernels on some planar cones being Weyl chambers

DOI10.1016/J.JDE.2024.05.052MaRDI QIDQ6592814

Krzysztof Stempak

Publication date: 26 August 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

heat kernelWeyl chamberplanar conesharp Gaussian estimate

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

Cites Work

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• Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex
• Brownian motion in cones
• The boundary behavior of heat kernels of Dirichlet Laplacians
• Laplace Dirichlet heat kernels in convex domains
• The Laplacian with mixed Dirichlet-Neumann boundary conditions on Weyl chambers
• Dirichlet heat kernel for the Laplacian in a ball
• Sharp estimates of the spherical heat kernel
• Potential theory in conical domains
• Finite reflection groups and symmetric extensions of Laplacian
• Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of $\mathbb R^{d}$

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