摘要
在半空间上讨论了一类非线性抛物型方程弱解的时间衰减性,获得了其解在L2范数下衰减率为t-n2(1r-12),其衰减率与线性热传导方程的衰减率相同.
In this paper we study the time decay of the weak solutions to the nonlinear parabolic equations in half spaces, and prove that the weak solutions to decay rate in L^2 norm is t-n/2（1/r-1/2）, which is the same as the solutions of the heat equations.
出处
《广西师范学院学报（自然科学版）》
2005年第3期1-5,共5页
Journal of Guangxi Teachers Education University(Natural Science Edition)
关键词
L^2衰减
弱解
非线性抛物方程
L^2 deeay
weak solution
nonlinear parabolic equation
