| 一类非线性抛物系统解的爆破现象 |
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| 引用本文： | 李远飞,石金诚.一类非线性抛物系统解的爆破现象[J].数学的实践与认识,2017(8):261-266. |
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| 作者姓名： | 李远飞 石金诚 |
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| 作者单位： | 广东财经大学华商学院,广东广州,511300 |
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| 基金项目： | 广东高校优秀青年创新人才培养计划项目(自然科学)(2013LYM_0112)，2014年广东财经大学科研项目:华商学院专项项目(14HSZX11001) |
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| 摘 要： | 研究了具有依赖于时间的系数的非线性抛物方程解的爆破现象.对已知数据项进行一定的假设并设置一些辅助函数,应用微分不等式技术,得到了方程的解发生爆破的条件.当爆破发生时,分别推导了方程在二维区域和三维区域上解的爆破时间的下界.
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| 关 键 词： | 爆破现象 爆破时间下界 非线性抛物方程 |
Blow-Up Phenomena of Solutions for a Class of Nonlinear Parabolic Problem |
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| LI Yuan-fei,SHI Jin-cheng.Blow-Up Phenomena of Solutions for a Class of Nonlinear Parabolic Problem[J].Mathematics in Practice and Theory,2017(8):261-266. |
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| Authors: | LI Yuan-fei SHI Jin-cheng |
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| Abstract: | This paper deals with the blow-up phenomena of the solutions to some nonlinear parabolic equation with time dependent coefficient.Under some sufficient constraint on the data,the upper bound for the blow-up time is obtained.When the blow-up occurs,the lower bound for blow-up time is derived in both two-dimensional domain and three-dimensional domain. |
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| Keywords: | blow-up phenomena lower bound for the blow-up time nonlinear parabolic problem |
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