摘要
本文证明下面的抛物型方程(1)的齐次Cauchy问题的整体解u只能是平凡解,如果存在适当a>0,使u∈L_a(E^n×(0,∞))。
It is proved that the global solution for the homogeneous Cauchy problen of a class degenerate parabolic equation, u, is only a trivial solution provided there exists a proper a>o such that u ∈ Lu (En×(0,∞))
关键词
抛物型方程
广义解
整体解
平凡解
初值问题
parabolic equation
homogeneous Cauchy problem
generalized solution
global solution
trivial solution.
