| 带有动态边界条件的非线性抛物方程解的爆破时间估计 |
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| 引用本文： | 覃晖,房明磊. 带有动态边界条件的非线性抛物方程解的爆破时间估计[J]. 长春大学学报, 2010, 20(6): 1-3,7 |
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| 作者姓名： | 覃晖 房明磊 |
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| 作者单位： | 安徽理工大学理学院,安徽淮南232001 |
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| 基金项目： | 安徽省自然科学基金(KJ2009B072Z) |
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| 摘 要： | 研究一类带有非局部源以及局部阻尼项的非线性抛物方程,利用谱方法及其上下解方法得到它的爆破性,并且给出了在不同边界条件下的爆破时间估计,其中包括Neumann边界条件和带有初值情况下的Dirichlet边界条件。
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| 关 键 词： | 非线性抛物方程 非局部 动态边界条件 爆破 |
The estimation of blow-up time for solutions of the nonlinear parabolic equations with dynamic boundary conditions |
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| QIN Hui,FANG Ming-lei. The estimation of blow-up time for solutions of the nonlinear parabolic equations with dynamic boundary conditions[J]. Journal of Changchun University, 2010, 20(6): 1-3,7 |
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| Authors: | QIN Hui FANG Ming-lei |
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| Affiliation: | QIN Hui,FANG Ming-lei(College of Science,Anhui University of Science and Technology,Huainan 232001,China) |
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| Abstract: | This paper studies a class of nonlinear parabolic equations with nonlocal source and local damping term,gets the blow-up phenomena by using spectral method and upper and lower solution method and gives the estimation of blow-up time in different boundary conditions,including Neumann boundary condition and Dirichlet boundary condition with the initial condition. |
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| Keywords: | nonlinear parabolic equation nonlocal dynamic boundary condition blow-up |
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