We establish explicit and sharp on-diagonal heat kernel estimates for Schrödinger semigroups with unbounded potentials corresponding to a large class of symmetric jump processes.The approach is based on recent de...We establish explicit and sharp on-diagonal heat kernel estimates for Schrödinger semigroups with unbounded potentials corresponding to a large class of symmetric jump processes.The approach is based on recent developments on the two-sided(Dirichlet)heat kernel estimates and intrinsic contractivity properties for symmetric jump processes.As a consequence,we present a more direct argument to yield asymptotic behaviors for eigenvalues of associated nonlocal operators.展开更多
基金supported by the National Natural Science Foundation of China(Nos.11522106 and 11831014)the Fok Ying Tung Education Foundation(No.151002)+1 种基金the Program for Probability and Statistics:Theory and Application(No.IRTL1704)the Program for Innovative Research Team in Science and Technology in Fujian Province University(IRTSTFJ).
文摘We establish explicit and sharp on-diagonal heat kernel estimates for Schrödinger semigroups with unbounded potentials corresponding to a large class of symmetric jump processes.The approach is based on recent developments on the two-sided(Dirichlet)heat kernel estimates and intrinsic contractivity properties for symmetric jump processes.As a consequence,we present a more direct argument to yield asymptotic behaviors for eigenvalues of associated nonlocal operators.
