BLOW-UP OF POSITIVE SOLUTIONS OF A SEMILINEAR HEAT EQUATION |
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作者姓名: | 王明新 |
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基金项目: | The project is supported by the Pose-Doctor Foundation of China. |
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摘 要: | The initial value problem in R~n is discussed, where p>1. It is well known that the solution u(x, t) blows up in finite time for some initial values φ. In this paper, it is proved that the blow-up occurs only at point x=0 for some special initial values φ(x).
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