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Research Article | Open Access

Pointwise convergence problem of free Benjamin-Ono-Burgers equation

Fei Zuo1, Junli Shen2( )
College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
College of Computer and Information Technology, Henan Normal University, Xinxiang 453007, China
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Abstract

In this paper, we show the almost everywhere pointwise convergence of free Benjamin-Ono-Burgers equation in H s ( R ) with s > 0 with the aid of the maximal function estimate.

Keywords

pointwise convergencefree Benjamin-Ono-Burgers equationsmaximal function estimate
CLC number: 42B15, 42B25

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5527-5533
DOI: 10.3934/math.2022306

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Cite this article:
Zuo F, Shen J. Pointwise convergence problem of free Benjamin-Ono-Burgers equation. AIMS Mathematics, 2022, 7(4): 5527-5533. https://doi.org/10.3934/math.2022306

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Received: 08 May 2021
Revised: 06 November 2021
Accepted: 11 November 2021
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)