TY - JOUR
T1 - Existence and Non-existence of Global Solutions of a Degenerate Parabolic System with Nonlinear Boundary Conditions
JO - Journal of Partial Differential Equations
VL - 1
SP - 71
EP - 79
PY - 2004
DA - 2004/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5377.html
KW - Degenerate parabolic system
KW - global solution
KW - blow-up in finite time
AB -  In this paper, we study the non-negative solutions to a degenerate parabolic system with nonlinear boundary conditions in the multi-dimensional case. By the upper and lower solutions method, we give the conditions on the existence and non-existence of global solutions.