| 带可变密度和吸收项的退化抛物方程解的局部性和渐近行为 |
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| 引用本文： | 胡学刚,穆春来.带可变密度和吸收项的退化抛物方程解的局部性和渐近行为[J].数学学报,2008,51(2):291-298. |
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| 作者姓名： | 胡学刚 穆春来 |
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| 作者单位： | [1]重庆邮电大学应用数学研究所,重庆400065 [2]重庆大学数理学院,重庆400044 |
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| 基金项目： | 国家自然科学基金资助项目（10771226）;重庆市自然科学基金资助项目（2007BB2450） 致谢 作者对审稿人表示衷心感谢. |
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| 摘 要： | 研究一类在非均匀介质中带可变系数和吸收项的非线性退化抛物方程Cauchy问题解的局部性质和渐近行为,得到了解有局部性的条件.同时,证明了解的渐近性质,发现了有限时刻的熄灭现象.这些结果改进和推广了相关问题的最新成果.
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| 关 键 词： | 退化抛物方程 局部性 渐近行为 |
| 文章编号： | 0583-1431（2008）02-0291-08 |
| 收稿时间： | 2006-07-06 |
Localization and Asymptotic Behavior of Solutions to Degenerate Parabolic Equations with Variable Density and Absorption |
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| Xue Gang HU Chun Lai MU.Localization and Asymptotic Behavior of Solutions to Degenerate Parabolic Equations with Variable Density and Absorption[J].Acta Mathematica Sinica,2008,51(2):291-298. |
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| Authors: | Xue Gang HU Chun Lai MU |
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| Institution: | Xue Gang HU Institute of Applied Mathematics, Chongqing University of Post and Telecommunications, Chongqing 400065, P. R. China Chun Lai MU School of Mathematics and Physics, Chongqing University, Chongqing 400044, P. R. China |
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| Abstract: | For a wide class of nonlinear parabolic equations with variable density and absorption, this paper obtains the conditions for the localization of solutions to the Cauchy problem with nonnegative compactly initial data, and proves the asymptotic behavior. Moreover, this article discovers the extinction phenomena under some conditions. These results improve and extend previous results on the related problems. |
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| Keywords: | degenerate parabolic equations localization asymptotic behavior |
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