Robin heat kernel comparison on manifolds
Differential Geometry
2022-08-30 v1 Analysis of PDEs
Spectral Theory
Abstract
We investigate the heat kernel with Robin boundary condition and prove comparison theorems for heat kernel on geodesic balls and on minimal submanifolds. We also prove an eigenvalue comparison theorem for the first Robin eigenvalues on minimal submanifolds. This generalizes corresponding results for the Dirichlet and Neumann heat kernels.
Keywords
Cite
@article{arxiv.2208.13402,
title = {Robin heat kernel comparison on manifolds},
author = {Xiaolong Li and Kui Wang},
journal= {arXiv preprint arXiv:2208.13402},
year = {2022}
}
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