TY - JOUR T1 - A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources AU - Han , Yuzhu AU - Wei , Yingjie AU - Gao , Wenjie JO - Communications in Mathematical Research VL - 4 SP - 315 EP - 330 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19076.html KW - global existence, finite time blow-up, localized source, nonlocal boundary, global blow-up, blow-up rate. AB -
This paper investigates the properties of solutions to a quasilinear parabolic system with nonlocal boundary conditions and localized sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and blow-up rate estimates are also derived.