Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance (Q6597643)

scientific article; zbMATH DE number 7906104

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English	Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance	scientific article; zbMATH DE number 7906104

Statements

instance of

scholarly article

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title

Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance (English)

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author

Yongming Li

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published in

Calculus of Variations and Partial Differential Equations

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publication date

3 September 2024

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zbMATH Keywords

nonlinear Schrödinger equation

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solitary wave

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linearizing

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matrix Schrödinger operators

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A centre-stable manifold for the focussing cubic NLS in \({\mathbb{R}}^{1+3\star}\)

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Q4853576

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Q4434430

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A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II

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Purely nonlinear instability of standing waves with minimal energy

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The asymptotic stability of solitons in the cubic NLS equation on the line

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On asymptotic stability of moving ground states of the nonlinear Schrödinger equation

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Dispersive estimates for matrix Schrödinger operators in dimension two

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On the one dimensional Dirac equation with potential

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Dispersive Estimates for Four Dimensional Schrödinger and Wave Equations 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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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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A Dispersive Bound for Three-Dimensional Schrödinger Operators with Zero Energy Eigenvalues

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Linearized instability for nonlinear schrödinger and klein-gordon equations

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Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system

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Dispersive estimates for Schrödinger operators in dimensions one and three

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ASYMPTOTIC STABILITY OF NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL

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Stability theory of solitary waves in the presence of symmetry. I

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On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case

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Exponential decay of eigenfunctions and generalized eigenfunctions of a non-self-adjoint matrix Schrödinger operator related to NLS

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A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS

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Decay estimates for Schrödinger operators

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Q3769298

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On asymptotic stability of nonlinear waves

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Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension

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Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)

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On Modified Scattering for 1D Quadratic Klein–Gordon Equations With Non-Generic Potentials

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Asymptotic stability of the sine-Gordon kink under odd perturbations

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On codimension one stability of the soliton for the 1D focusing cubic Klein-Gordon equation

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Stability and instability of standing waves for 1-dimensional nonlinear Schrödinger equation with multiple-power nonlinearity

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Dispersive estimates using scattering theory for matrix Hamiltonian equations

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Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode

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Dispersive estimates and asymptotic expansions for Schrödinger equations in dimension one

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Asymptotic expansions in time for solutions of Schrödinger-type equations

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Stability and instability of standing waves for one dimensional nonlinear Schrödinger equations with double power nonlinearity

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Dispersive estimates for Schrödinger operators in dimension two

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Instability of nonlinear bound states

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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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On Threshold Eigenvalues and Resonances for the Linearized NLS Equation

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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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Lyapunov stability of ground states of nonlinear dispersive evolution equations

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Identifiers

zbMATH Open document ID

1546.3521

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Mathematics Subject Classification ID

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10.1007/S00526-024-02817-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6597643