@Article{CMAA-4-392,
author = {Kubo , Takayuki and Ueda , Yoshihiro},
title = {Large Time Behavior of Solutions to Burgers Equation with a Time Delay},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {3},
pages = {392--418},
abstract = {<p style="text-align: justify;">In this article, we consider the large time behavior of solutions $ρ$ to
the one-dimensional Cauchy problem of the generalized viscous Burgers equations with a time delay. More precisely, we derive the time decay estimate of the
solution to the Cauchy problem, provided by $ρ_0(0)∈L^1$ and $ρ_0∈C([−τ,0];H^1
).$ The result is based on the combination of the weighted $L^2$ energy estimate and
the $L^1$ estimate.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2025-0011},
url = {http://global-sci.org/intro/article_detail/cmaa/24335.html}
}