AIMS Mathematics (Jan 2022)

Pointwise convergence problem of free Benjamin-Ono-Burgers equation

  • Fei Zuo,
  • Junli Shen

DOI
https://doi.org/10.3934/math.2022306
Journal volume & issue
Vol. 7, no. 4
pp. 5527 – 5533

Abstract

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

Keywords