Pointwise convergence along non-tangential direction for the Schrödinger equation with complex time

DOI10.1007/s13163-020-00364-wzbMath1469.42024OpenAlexW3039824877MaRDI QIDQ2041884

Jiye Yuan, Tengfei Zhao, Ji Qiang Zheng

Publication date: 26 July 2021

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-020-00364-w

zbMATH Keywords

pointwise convergencefractional Schrödinger operatormaximal estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operator inequalities (47A63) Time-dependent Schrödinger equations and Dirac equations (35Q41) Ginzburg-Landau equations (35Q56)

Related Items (2)

On the dimension of divergence sets of Schrödinger equation with complex time ⋮ Maximal estimates for Weyl sums on \(\mathbb{T}^d\) (with an appendix by Alex Barron)

Cites Work

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• Pointwise convergence along restricted directions for the fractional Schrödinger equation
• Sharp estimates for maximal operators associated to the wave equation
• Problems on pointwise convergence of solutions to the Schrödinger equation
• Boundedness of maximal operators of Schrödinger type with complex time
• 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
• Finite-Time Blowup for a Complex Ginzburg--Landau Equation

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