Gaussian bounds for the heat kernels on the ball and the simplex: classical approach
Volume 250 / 2020
Studia Mathematica 250 (2020), 235-252
MSC: 42C05, 35K08.
DOI: 10.4064/sm180423-13-10
Published online: 29 July 2019
Abstract
Two-sided Gaussian bounds are established for the weighted heat kernels on the unit ball and the simplex in ${\mathbb R}^d$ generated by classical differential operators whose eigenfunctions are algebraic polynomials.
