2 papers
math.PR2025
Dirichlet heat kernel estimates for isotropic Levy processes with Gaussian components in Lipschitz open sets
Jie-Ming Wang
In this paper, the two-sided Dirichlet heat kernel estimates are obtained for a class of discontinuous isotropic Levy processes with Gaussian components in Lipschitz open sets. Fur…
math.DG2024
Sobolev inequalities involving 2-tensor fields in manifolds with nonnegative sectional curvature
Jie Wang
By applying the ABP method, we establish both Log Sobolev type inequality and Michael Simon Sobolev inequality for smooth symmetric uniformly positive definite (0,2) tensor fields…