Open AccessPointwise convergence problem of free Benjamin-Ono-Burgers equation
Author(s) -
Zuo Fei,
AUTHOR_ID,
Junli Shen,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022306
Subject(s) - pointwise , pointwise convergence , burgers' equation , convergence (economics) , almost everywhere , mathematics , function (biology) , pure mathematics , mathematical analysis , partial differential equation , computer science , economics , approx , evolutionary biology , biology , economic growth , operating system
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.