Gaussian bounds for higher-order elliptic differential operators with Kato type potentials

DOI10.1016/j.jfa.2014.02.014zbMath1296.47037OpenAlexW2059641879MaRDI QIDQ2253288

Ding, Yong, Xiao Hua Yao, Qing Quan Deng

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.02.014

zbMATH Keywords

Schrödinger operatorheat kernelKato potentialSchrödinger semigroupspectral independenceGaussian kernel estimates

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items

Sharp global well-posedness of the BBM equation in \(L^p\) type Sobolev spaces ⋮ Decay estimates for bi-Schrödinger operators in dimension one ⋮ \(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials ⋮ Decay estimates and Strichartz estimates of fourth-order Schrödinger operator ⋮ Uniform complex time heat kernel estimates without Gaussian bounds ⋮ Decay estimates for fourth-order Schrödinger operators in dimension two ⋮ Gevrey type regularity of the Riesz-Feller operator perturbed by gradient in \(L^p(\mathbb{R})\) ⋮ Regularity of semigroups for exponentially tempered stable processes with drift ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols ⋮ Riesz transforms associated with higher-order Schrödinger type operators ⋮ Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators ⋮ Decay estimates for higher-order elliptic operators ⋮ Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials

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