Maximal estimate for solutions to a class of dispersive equation with radial initial value

DOI10.1007/s11464-017-0654-zzbMath1386.42006OpenAlexW2746208731MaRDI QIDQ1690472

Yao Ming Niu, Ding, Yong

Publication date: 19 January 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-017-0654-z

zbMATH Keywords

maximal operatorlocal estimatedispersive equationglobal estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

On the dimension of the divergence set of the Ostrovsky equation ⋮ Dimension of divergence sets for dispersive equation ⋮ A Carleson problem for the Boussinesq operator

Cites Work

• Global \(L^{2}\) estimates for a class of maximal operators associated to general dispersive equations
• A note on the Schrödinger maximal function
• A local smoothing estimate for the Schrödinger equation
• Regularity of solutions to the Schrödinger equation
• Radial functions and regularity of solutions to the Schrödinger equation
• A sharp bilinear restriction estimate for paraboloids
• A remark on Schrödinger operators
• A bilinear approach to cone multipliers. II: Applications
• Convergence of solutions of general dispersive equations along curve
• Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
• On small amplitude solutions to the generalized Boussinesq equations
• A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
• Decay estimates for a class of wave equations
• Nondispersive solutions to the \(L ^{2}\)-critical half-wave equation
• On the Schrödinger maximal function in higher dimension
• Radial functions and maximal operators of Schroedinger type
• Weighted maximal estimates along curve associated with dispersive equations
• A Strong Type (2,2) Estimate for a Maximal Operator Associated to the Schrodinger Equation
• Pointwise convergence of solutions to Schr\"odinger equations
• Weighted Norm Inequalities for the Fourier Transform
• Schrodinger Equations: Pointwise Convergence to the Initial Data
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Global maximal estimates for solutions to the Schrödinger equation
• Strichartz estimates in spherical coordinates
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Maximal estimate for solutions to a class of dispersive equation with radial initial value