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摘要: |
主要研究带有第三界边界条件的非线性抛物方程解的爆破现象, 建立一系列微分不等式,给出了爆破时间的下界估计, 最后给出了方程解不爆破的条件. |
关键词: 爆破 爆破时间估计 非线性抛物方程 |
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Blow-up Time Estimation for a Solutions of a Class of Nonlinear Parabolic Equations |
WANG Qin-feng, ZHOU Shou-ming
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Abstract: |
This paper mainly studied the blow-up phenomena of the solutions to some nonlinear parabolic equation under Robin boundary conditions,set up a series of differential inequalities,determined lower boundary estimation for blow-up time and finally gave the non-blow-up condition for the solutions. |
Key words: blow-up blow-up time estimation nonlinear parabolic equations |