$L^{p}$-boundedness of wave operators for bi-Schrödinger operators on the line (Q6592212)

scientific article; zbMATH DE number 7900910

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English	$L^{p}$-boundedness of wave operators for bi-Schrödinger operators on the line	scientific article; zbMATH DE number 7900910

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title

$L^{p}$-boundedness of wave operators for bi-Schrödinger operators on the line (English)

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Advances in Mathematics

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publication date

24 August 2024

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zbMATH Keywords

bi-Schrödinger operator

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wave operator

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$L^{p}$-boundedness

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Structure of wave operators for a scaling-critical class of potentials

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Structure formulas for wave operators under a small scaling invariant condition

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Structure formulas for wave operators

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Dispersion estimates for fourth order Schrödinger equations

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Q5489494

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Decay estimates for beam equations with potential in dimension three

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Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators

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Erratum: Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators

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Resonance theory for Schrödinger operators

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Stabilization of solutions to nonlinear Schrödinger equations

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$L^p$ continuity of wave operators in $\mathbb Z$

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$L^p$-boundedness of the wave operator for the one dimensional Schrödinger operator

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Inverse scattering on the line

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$L^p$-boundedness of wave operators for the three-dimensional multi-centre point interaction

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Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications

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

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Endpoint Strichartz estimates for charge transfer Hamiltonians

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$H^p-H^q$ estimates for dispersive equations and related applications

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On the $L^p$ boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions

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Counterexamples to $L^p$ boundedness of wave operators for classical and higher order Schrödinger operators

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The $L^p$-continuity of wave operators for higher order Schrödinger operators

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A note on endpoint $L^p$-continuity of wave operators for classical and 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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Weighted estimates for operator-valued Fourier multipliers

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Characterizations of bounded mean oscillation

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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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Q5440731

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

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The $L^p$-boundedness of wave operators for fourth order Schr\"odinger operators on ${\mathbb R}^4$

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The $L^{p}$ boundedness of wave operators for Schrödinger operators with threshold singularities

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On the $L^p$ boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue

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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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Modern Fourier Analysis

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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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The sharp weighted bound for general Calderón-Zygmund operators

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

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Space-time scattering for the Schrödinger equation

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A remark on $L^{p}$ -boundedness of wave operators for two dimensional Schrödinger operators

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On <i>L<sup>p</sup> </i> boundedness of wave operators for 4-dimensional Schrödinger operators with threshold singularities

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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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Scattering theory for differential operators. I: Operator theory

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Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces

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$A_1$ bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden

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Decay estimates for fourth-order Schrödinger operators in dimension two

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Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three

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Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials

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Q4066072

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Q5430053

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On pointwise decay of waves

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

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Decay estimates for bi-Schrödinger operators in dimension one

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Interpolation of Linear Operators

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Q3142876

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

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The $L^p$ boundedness of the wave operators for matrix Schrödinger equations

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The $W^{k,p}$-continuity of wave operators for Schrödinger operators

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$L^p$-boundedness of wave operators for two-dimensional Schrödinger operators

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Q3430953

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Remarks on $L^p$-boundedness of wave operators for Schrödinger operators with threshold singularities

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$L^1$ and $L^\infty$-boundedness of wave operators for three dimensional Schrödinger operators with threshold singularities

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$L^p$-boundedness of wave operators for 2D Schrödinger operators with point interactions

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The $L^p$-boundedness of wave operators for two dimensional Schrödinger operators with threshold singularities

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Identifiers

zbMATH Open document ID

1546.35048

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Mathematics Subject Classification ID

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10.1016/J.AIM.2024.109806

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Sitelinks

Mathematics(1 entry)

mardi Publication:6592212

\(L^{p}\)-boundedness of wave operators for bi-Schrödinger operators on the line (Q6592212)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)