| 具吸收项的发展型p-Laplace方程组解的存在惟一性 |
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| 引用本文： | 李岩波,李辉来. 具吸收项的发展型p-Laplace方程组解的存在惟一性[J]. 吉林大学学报(理学版), 2008, 46(4): 579-586 |
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| 作者姓名： | 李岩波 李辉来 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 研究一类发展型p-Laplace方程组Cauchy问题弱解的存在惟一性. 利用抛物正则化方法建立了弱解的存在性, 并通过把相应的Cauchy问题转化为一个方程的情形, 再结合能量估计和衰减估计两种方法, 得到了弱解的惟一性.
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| 关 键 词： | 非线性扩散系统 存在性 惟一性 吸收项 p-Laplace |
| 收稿时间： | 2008-01-04 |
Existence and Uniqueness of the Solution for the Evolutionary p-Laplacian System with Absorptions |
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| LI Yan-bo,LI Hui-lai. Existence and Uniqueness of the Solution for the Evolutionary p-Laplacian System with Absorptions[J]. Journal of Jilin University: Sci Ed, 2008, 46(4): 579-586 |
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| Authors: | LI Yan-bo LI Hui-lai |
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| Affiliation: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The existence and uniqueness of weak solutions for the Cauchy problem of an evolutionary Laplacian systems were investigated. The exsitence was obtained by virtue of the parabolic regularized method. Owing to the difficulty of the comparison between the two solutions of the system consided, wecombined the enery method with the decay method to reduce our problem to the scalar case, so as to establish the uniqueness of solution. |
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| Keywords: | nonlinear diffusion system existence uniqueness absorption p-Laplacian system |
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