Bounds for blow-up time for the heat equation under nonlinear boundary conditions
Bounds for blow-up time for the heat equation under nonlinear boundary conditions
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DOI：
10.1017/s0308210508000802
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发表时间：
2009-11
期刊：
影响因子：
--
通讯作者：
L. Payne;P. Schaefer
中科院分区：
文献类型：
--
作者：
L. Payne;P. Schaefer
利用微分不等式技术确定了非线性边界条件下热方程解发生爆破时爆破时间的下界。此外，还确定了爆炸发生的充分条件。
A differential inequality technique is used to determine a lower bound on the blow-up time for solutions to the heat equation subject to a nonlinear boundary condition when blow-up of the solution does occur. In addition, a sufficient condition which implies that blow-up does occur is determined.