摘要
本文研究了一类半线性抛物线型变分不等式解在有限时间的blow up问题。证明了在一定条件下,存在某个时刻T~*<+∞,使得一类半线性抛物型变分不等式的解u(x,t)有下列性质:lim t→T^(*-)integral from 0 to 1 ‖u(x,η)‖_2~2dη=+∞。
Our paper studies blow-up for a class of semilinear parabolicvariational inequalities in a finite time. It proved the existence of some mo-ment T~★<+∞ under certain condition, which makes the solution to thesemilinear parabolic variational inequalities have the following form:
关键词
抛物型方程
半线性
解
BLOW-UP
variational inequations
semilinear parabolic equations
uniform elliptic operators
blow up
