【摘要】 考虑如下非线性抛物型方程具有正的非线性Ｎｅｕｍａｎｎ条件的初边值问题得到方程经典解的局部存在性结果，而整体存在性和在有限时间发生ｂｌｏｗ－ｕｐ的现象将依赖于下列积分的发散和收敛性，即更多还原

【Abstract】 In this paper, one considers the following initial boundary value problem of the nonlinear parabolic equation with a positive nonlinear boundary condition one obtains a result on local existence of classical solution. It is shown that the global solvability or the finite time blow-up depends upon the divergency or convergency of the following integral更多还原