ESTIMATES FOR SCHRÖDINGER MAXIMAL OPERATORSALONG CURVE WITH COMPLEX TIME

DOI10.4134/JKMS.J180558zbMath1437.42026OpenAlexW3036154853MaRDI QIDQ5108932

Ying Xue, Yao Ming Niu

Publication date: 6 May 2020

Full work available at URL: http://koreascience.or.kr:80/article/JAKO202008662572676.pdf

zbMATH Keywords

maximal operatorSchrödinger equationcurvelocal estimateglobal estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Pointwise convergence along a tangential curve for the fractional Schrödinger equation with 0 < m < 1 ⋮ On the dimension of divergence sets of Schrödinger equation with complex time

Cites Work

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• The Schrödinger equation along curves and the quantum harmonic oscillator
• Problems on pointwise convergence of solutions to the Schrödinger equation
• Boundedness of maximal operators of Schrödinger type with complex time
• Weighted maximal estimates along curve associated with dispersive equations
• Maximal operators of Schrödinger type with a complex parameter
• A NOTE ON SCHRÖDINGER MAXIMAL OPERATORS WITH A COMPLEX PARAMETER
• Convergence properties for the time-dependent Schrödinger equation
• Global maximal estimates for solutions to the Schrödinger equation

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