一类拟线性抛物方程解的blow-up

Blow-up of Behavior Nonlinear Parabolic Equation

在文 [4 ]的基础上 ,用能量估计法研究了非线性抛物方程ut- ∑nt,j=1 xi(aij(x) u xj) - Δut=f(x,t,u,Du)初边值问题解的 blow- up性质 ,得到了解发生 blow- up的条件 .

This paper is concerned with the blow-up behavior of the Solution of initioal boundary value problem for nonlinear Parabolic equation u t-∑nt,j=1x i(a ij (x)ux j)-Δu t=f(x,t,u,Du) Using schwarts inequality and method of energy evalution.It is proved that the solution of nonlinear parabolic equation blow-up in a finite time.