Decay estimates for fourth-order Schrödinger operators in dimension two (Q2680196)

scientific article; zbMATH DE number 7646934

Language	Label	Description	Also known as
English	Decay estimates for fourth-order Schrödinger operators in dimension two	scientific article; zbMATH DE number 7646934

Statements

instance of

scholarly article

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title

Decay estimates for fourth-order Schrödinger operators in dimension two (English)

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author

Yanyan Li

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published in

Journal of Functional Analysis

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publication date

30 January 2023

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full work available at URL

https://arxiv.org/abs/2110.07154

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zbMATH Keywords

fourth-order Schrödinger operator

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asymptotic expansion of the resolvent

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dimension two

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Dispersion estimates for fourth order Schrödinger equations

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Q4011163

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Resonance theory for Schrödinger operators

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

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\(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator

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Kato Class Potentials for Higher Order Elliptic Operators

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Dispersive Estimates for Four Dimensional Schrödinger and Wave Equations with Obstructions at Zero Energy

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A weighted dispersive estimate for Schrödinger operators in dimension two

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Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy

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The \(L^p\)-continuity of wave operators for higher order Schrödinger operators

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On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances

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Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I

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Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II

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On the absence of positive eigenvalues for one-body Schrödinger operators

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Decay estimates for higher-order elliptic operators

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Decay estimates and Strichartz estimates of fourth-order Schrödinger operator

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Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case

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Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case.

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On the 𝐿^{𝑝} boundedness of the wave operators for fourth order Schrödinger operators

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Classical Fourier Analysis

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Dispersive estimates for Schrödinger operators in dimensions one and three

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On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances

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The analysis of linear partial differential operators. II: Differential operators with constant coefficients

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Decay of eigenfunctions of elliptic PDE's. I

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Decay of eigenfunctions of elliptic PDE's. II.

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On the absence of positive eigenvalues of Schrödinger operators with rough potentials

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Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\)

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Spectral properties of Schrödinger operators and time-decay of the wave functions

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A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS

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ERRATUM: A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS

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Decay estimates for Schrödinger operators

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Growth properties of solutions of the reduced wave equation with a variable coefficient

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Carleman estimates and absence of embedded eigenvalues

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Q4193979

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Asymptotic expansions in time for solutions of Schrödinger-type equations

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Time decay for solutions of Schrödinger equations with rough and time-dependent potentials

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Q5631480

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Dispersive estimates for Schrödinger operators in dimension two

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Q5430053

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On pointwise decay of waves

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On positive eigenvalues of one‐body schrödinger operators

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Decay estimates for bi-Schrödinger operators in dimension one

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Q3142876

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Spectral Multipliers, Bochner–Riesz Means and Uniform Sobolev Inequalities for Elliptic Operators

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A weighted estimate for two dimensional Schrödinger, matrix Schrödinger, and wave equations with resonance of the first kind at zero energy

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The \(W_{k,p}\)-continuity of the Schrödinger wave operators on the line

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\(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential

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The \(W^{k,p}\)-continuity of wave operators for Schrödinger operators

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JFA.2022.109816

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Sitelinks

Mathematics(1 entry)

mardi Publication:2680196