TY - JOUR
T1 - Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source
AU - Sun , Peng
AU - Gao , Wenjie
AU - Han , Yuzhu
JO - Communications in Mathematical Research 
VL - 3
SP - 243
EP - 251
PY - 2021
DA - 2021/05
SN - 28
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19047.html
KW - blow-up, moving localized source, nonlocal boundary condition, global
blow-up.
AB - <p style="text-align: justify;">This paper is devoted to the blow-up properties of solutions to the porous
medium equations with a nonlocal boundary condition and a moving localized source.
Conditions for the existence of global or blow-up solutions are obtained. Moreover,
we prove that the unique solution has global blow-up property whenever blow-up
occurs.</p>