| 带有局部化反应源和非局部边界条件的非线性抛物型方程组解的全局存在性和爆破性 |
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| 引用本文： | 黄小萍,曾有栋.带有局部化反应源和非局部边界条件的非线性抛物型方程组解的全局存在性和爆破性[J].福州大学学报(自然科学版),2013,41(1):6-11. |
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| 作者姓名： | 黄小萍 曾有栋 |
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| 作者单位： | 福州大学数学与计算机科学学院, 福建 福州 350116 |
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| 基金项目： | 福建省自然科学基金资助项目(Z0511015) |
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| 摘 要： | 使用上下解的方法解决了带局部化反应源的非线性抛物型方程组在非局部边界条件下正解的全局存在性和爆破性问题,得到一定条件下解的全局存在性和解在有限时间内爆破.
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| 关 键 词： | 非线性抛物方程组 局部化反应源 非局部边界条件 全局存在 爆破 |
Global existence and blow up of solutions for a localized nonlinear parabolic system with a nonlocal boundary condition |
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| HUANG Xiao-ping,ZENG You-dong.Global existence and blow up of solutions for a localized nonlinear parabolic system with a nonlocal boundary condition[J].Journal of Fuzhou University(Natural Science Edition),2013,41(1):6-11. |
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| Authors: | HUANG Xiao-ping ZENG You-dong |
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| Institution: | (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350116,China) |
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| Abstract: | Uses upper and lower solution method to solve the global existence and blow up of positive solutions to a nonlinear parabolic system with a localized reaction source and a nonlocal boundary condition. We obtain the global existence and blow up of positive solutions under certain conditions. |
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| Keywords: | nonlinear parabolic system localized reaction source nonlocal boundary condition global existence blow up |
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