Laplace Dirichlet heat kernels in convex domains

DOI10.1016/j.jde.2022.01.026zbMath1483.35081arXiv2110.06147OpenAlexW4207060597MaRDI QIDQ2074464

Grzegorz Serafin

Publication date: 10 February 2022

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

Full work available at URL: https://arxiv.org/abs/2110.06147

zbMATH Keywords

Brownian motionheat kernelLaplacianconvex domains

Mathematics Subject Classification ID

Brownian motion (60J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Heat kernel (35K08)

Related Items (max. 100)

Sharp estimates for Jacobi heat kernels in conic domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fourier-Bessel heat kernel estimates
• Density of space-time distribution of Brownian first hitting of a disc and a ball
• Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex
• Gaussian bounds for the Dirichlet heat kernel
• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• The equivalence of certain heat kernel and Green function bounds
• Brownian motion in cones
• The first exit time of a Brownian motion from an unbounded convex domain
• The boundary behavior of heat kernels of Dirichlet Laplacians
• The first exit time of planar Brownian motion from the interior of a parabola
• The global behavior of heat kernels in exterior domains
• Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
• Dirichlet heat kernel for the Laplacian in a ball
• Sharp estimates of the spherical heat kernel
• Estimates of Dirichlet heat kernel for symmetric Markov processes
• Sharp estimates of transition probability density for Bessel process in half-line
• Density and tails of unimodal convolution semigroups
• A lower bound for the heat kernel
• A Gaussian Lower Bound for the Dirichlet Heat Kernel
• Heat equation and the principle of not feeling the boundary
• Diffusion processes in a small time interval
• From Brownian Motion to Schrödinger’s Equation
• Dirichlet heat kernel in the exterior of a compact set
• Feeling boundary by Brownian motion in a ball

This page was built for publication: Laplace Dirichlet heat kernels in convex domains