Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions (Q2019304)

scientific article

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English	Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions	scientific article

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instance of

scholarly article

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title

Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions (English)

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published in

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

20 April 2021

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full work available at URL

https://arxiv.org/abs/1909.03365

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zbMATH Keywords

inhomogeneous fourth-order Schrödinger operator

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dispersive estimates

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resonance

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zero eigenvalue

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author

Hong Liang Feng

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MaRDI profile type

MaRDI publication profile

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cites work

Q4076370

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The limiting absorption principle for partial differential operators

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Dispersion estimates for fourth order Schrödinger equations

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

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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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High frequency dispersive estimates for the Schrodinger equation in high dimensions

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Q4434430

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Resonance theory for 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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Self-Focusing with Fourth-Order Dispersion

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Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials

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

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A counterexample to dispersive estimates for Schrödinger operators in higher dimensions

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

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Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case

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Factorization technique for the fourth-order nonlinear Schrödinger equation

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On the inhomogeneous fourth-order nonlinear Schrödinger equation

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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. Results in \(L^ 2(R^ 4)\)

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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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The linear profile decomposition for the fourth order Schrödinger equation

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Decay estimates for Schrödinger operators

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Solitons of the fourth order nonlinear Schrödinger equation

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Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)

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Scattering theory for the defocusing fourth-order Schrödinger equation

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Asymptotic expansions in time for solutions of Schrödinger-type equations

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The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave

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THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS

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Long range scattering for the nonlinear Schrödinger equation with higher order anisotropic dispersion in two dimensions

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Dispersive estimates for Schrödinger equations with threshold resonance and eigenvalue

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Identifiers

zbMATH Open document ID

1465.35167

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DOI

10.1016/j.na.2021.112269

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2019304