Decay estimates for higher-order elliptic operators

DOI10.1090/tran/8010zbMath1440.35054arXiv1904.12275OpenAlexW2980678892WikidataQ127017957 ScholiaQ127017957MaRDI QIDQ5218251

Zhao Wu, Hong Liang Feng, Xiao Hua Yao, Avy Soffer

Publication date: 2 March 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12275

zbMATH Keywords

Strichartz estimatesabsence of positive eigenvalueshigher-order Schrödinger-type operatorKato-Jensen decay estimates

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Higher-order elliptic equations (35J30)

Related Items (14)

Unique continuation properties for one dimensional higher order Schrödinger equations ⋮ Decay estimates for bi-Schrödinger operators in dimension one ⋮ The \(L^p\)-continuity of wave operators for higher order Schrödinger operators ⋮ Decay estimates for fourth-order Schrödinger operators in dimension two ⋮ Counterexamples to \(L^p\) boundedness of wave operators for classical and higher order Schrödinger operators ⋮ Dispersive estimates for the Schrödinger equation with finite rank perturbations ⋮ Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ A limiting absorption principle for high-order Schrödinger operators in critical spaces ⋮ A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators ⋮ Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials ⋮ Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions ⋮ On the 𝐿^{𝑝} boundedness of the wave operators for fourth order Schrödinger operators ⋮ Stability for an Inverse Source Problem of the Biharmonic Operator

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