Lower bounds for blow-up time in parabolic problems under Neumann conditions
Lower bounds for blow-up time in parabolic problems under Neumann conditions
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DOI：
10.1080/00036810600915730
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发表时间：
2006-10
影响因子：
1.1
通讯作者：
L. Payne;P. Schaefer
中科院分区：
文献类型：
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作者：
L. Payne;P. Schaefer
研究了一类在齐次诺依曼边界条件下解可能在有限时间内爆炸的半线性热方程的初边值问题。当爆炸发生时，用微分不等式的方法确定爆炸时间的下界。在非线性的替代条件下，还确定了爆破时间的附加界。
We consider an initial boundary value problem for the semilinear heat equation under homogeneous Neumann boundary conditions in which the solution may blow up in finite time. A lower bound for the blow-up time is determined by means of a differential inequality argument when blow up occurs. Under alternative conditions on the nonlinearity, some additional bounds for blow-up time are also determined.