On-diagonal estimates on Schrödinger semigroup kernels and reduced heat kernels

DOI10.1007/s002200050163zbMath0884.35027OpenAlexW2133337162MaRDI QIDQ1365873

Adam S. Sikora

Publication date: 9 September 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050163

zbMATH Keywords

large time estimates

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Schrödinger operator, Schrödinger equation (35J10)

Related Items (11)

Finite propagation speed and kernel estimates for Schrödinger operators ⋮ On a polynomial scalar perturbation of a Schrödinger system in \(L^{p}\)-spaces ⋮ Stochastic quantization and ergodic theorem for density of diffusions ⋮ Spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates ⋮ Imaginary powers of Laplace operators ⋮ Kernel and eigenfunction estimates for some second order elliptic operators ⋮ On-diagonal heat kernel estimates for Schrödinger semigroups and their application ⋮ Time dependent Lyapunov functions for some Kolmogorov semigroups perturbed by unbounded potentials ⋮ Riesz transforms and Lie groups of polynomial growth ⋮ Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates ⋮ Random weighted Sobolev inequalities and application to quantum ergodicity

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