A Carleson problem for the Boussinesq operator

DOI10.1007/s10114-022-1221-4OpenAlexW2995787980WikidataQ114228356 ScholiaQ114228356MaRDI QIDQ2690112

Dan Li, Junfeng Li

Publication date: 15 March 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1221-4

zbMATH Keywords

Sobolev spaceHausdorff dimensionpointwise convergenceCarleson problemBoussinesq operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• Global \(L^{2}\) estimates for a class of maximal operators associated to general dispersive equations
• A note on the Schrödinger maximal function
• Coherence on fractals versus pointwise convergence for the Schrödinger equation
• On the dimension of divergence sets of dispersive equations
• The Cauchy problem for the Gross--Pitaevskii equation
• Scattering for the Gross-Pitaevskii equation
• Regularity of solutions to the Schrödinger equation
• Singular sets of Sobolev functions
• Maximal estimate for solutions to a class of dispersive equation with radial initial value
• Average decay of the Fourier transform of measures with applications
• Scattering for the 3D Gross-Pitaevskii equation
• A bilinear approach to cone multipliers. II: Applications
• Dimension of divergence sets for dispersive equation
• Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
• A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
• On the Schrödinger maximal function in higher dimension
• Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
• Travelling waves for the Gross-Pitaevskii equation. II
• An improved maximal inequality for 2D fractional order Schrödinger operators
• Weighted maximal estimates along curve associated with dispersive equations
• A note on pointwise convergence for the Schrödinger equation
• SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS
• Pointwise convergence of solutions to Schr\"odinger equations
• Weighted Norm Inequalities for the Fourier Transform
• Convergence properties for the time-dependent Schrödinger equation
• Schrodinger Equations: Pointwise Convergence to the Initial Data
• POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
• Maximal estimates for solutions to the nonelliptic Schrödinger equation
• Nonlocalization of operators of Schrödinger type

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