Dirichlet heat kernel for unimodal Lévy processes

Abstract

We estimate the heat kernel of the smooth open set for the isotropic unimodal pure-jump Lévy process with infinite Lévy measure and weakly scaling Lévy-Kchintchine exponent.

arXiv comment38 pages

References in corpus (4)

• Boundary Harnack inequality for Markov processes with jumps
• Dirichlet Heat Kernel Estimates for Rotationally Symmetric Lévy processes
• Lieb-Thirring Bound for Schrödinger Operators with Bernstein Functions of the Laplacian
• Barriers, exit time and survival probability for unimodal Lévy processes

Cited by in corpus (3)

• Minimal thinness with respect to symmetric Lévy processes
• On the trace of unimodal Lévy processes on Lipschitz domains
• Two-sided Dirichlet heat estimates of symmetric stable processes on horn-shaped regions