摘要
考虑了带齐次Dirichlet边界条件的含有吸收项的非局部退化奇异抛物方程xmut-(xrux)x=a∫0updx-kuq解的爆破性质.使用特征函数和上下解技巧,得到了正解整体存在性与有限时刻爆破的充分条件.在一定条件下,证明了爆破解的爆破集是整个区域.
The global existence and blow-up for degenerate parabolic equation with nonlocal source and absorption are studied. The sufficient conditions for the solution exists globally or blows up in finite time are abtained and the blow-up set of the solution is the whole domain under certain conditions is proved.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第1期35-40,共6页
Journal of Sichuan University(Natural Science Edition)
关键词
非局部源
吸收项
退化奇异抛物方程
nonlocal source, absorption, degenerate parabolic equation
