Contractivity and ground state domination properties for non-local Schrödinger operators

DOI10.4171/JST/193zbMath1474.60127arXiv1509.08319MaRDI QIDQ1708568

Kamil Kaleta, József Lörinczi, Mateusz Kwaśnicki

Publication date: 23 March 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08319

zbMATH Keywords

Feynman-Kac semigroupground state transformationsymmetric Lévy processnon-local Schrödinger operator(asymptotic) intrinsic ultracontractivity\(L^p\)-ground state dominationintrinsic hypercontractivityintrinsic supercontractivity

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Markov semigroups and applications to diffusion processes (47D07) Schrödinger and Feynman-Kac semigroups (47D08) Jump processes on general state spaces (60J76)

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Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators ⋮ Hopf's lemma for viscosity solutions to a class of non-local equations with applications ⋮ Spatial asymptotics at infinity for heat kernels of integro-differential operators ⋮ Decay of harmonic functions for discrete time Feynman--Kac operators with confining potentials ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues

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