一类带梯度项的非线性抛物型方程

On a Nonlinear Parabolic Equation with a Gradient

文中应用比较原理和贝努里方程解的性质，对任意的ｐ＞１，ｑ≥０以及适当的初ｕ＿０，得到：存在，使得当时，问题的解不会产生有限时间内的爆破。

By the comparison principle and the property of solution to the Bernouli′s equation,the papershows that for arbitrary p>1,q>0 and the certain assumption u_0 ,there exists a λ>0 such that λ∈(0,λ],the solutions of(1) do not blow up in ime.