| 发展型p-Laplace方程(组)解的整体有限性 |
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| 引用本文： | 孙鹏,高文杰.发展型p-Laplace方程(组)解的整体有限性[J].应用数学学报,2007,30(5):903-909. |
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| 作者姓名： | 孙鹏 高文杰 |
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| 作者单位： | 吉林大学,长春,130012 |
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| 摘 要： | 本文主要在多维空间中讨论一类发展型p-Laplace方程及方程组的初边值问题.这类问题在非牛顿渗流方程的理论研究中有着重要的意义.作者通过上、下解的方法证明了发展型p-Laplace方程解的整体有限性;同时利用两个关于常微分方程的比较原理,给出了相应的方程组解的整体有限性结果.
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| 关 键 词： | 发展型p-Laplace方程 整体有限性 比较原理 |
| 修稿时间： | 2006-10-23 |
Global Finiteness of Solutions for Evolution p-Laplace Equations and Systems |
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| SUN PENG,GAO WENJIE.Global Finiteness of Solutions for Evolution p-Laplace Equations and Systems[J].Acta Mathematicae Applicatae Sinica,2007,30(5):903-909. |
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| Authors: | SUN PENG GAO WENJIE |
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| Institution: | 1.Jilin University, Changchun 130012;2. Jilin University, Changchun 130012 |
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| Abstract: | In this paper, the authors study evolution p-Laplace equations and systems in multidimensional space. The problems studied are important in studying the non-Newton fluidics.The authors prove the global finiteness of solutions for evolution p-Laplace equations with the use of the supsolution and subsolution method; and prove the global finiteness of solutions for evolution p-Laplace systems by using comparison principles of two ordinary differential equations. |
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| Keywords: | evolution p-Laplace equations global finiteness comparison principle |
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