| 非牛顿多方渗流方程解的有界性估计 |
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| 引用本文： | 徐新英. 非牛顿多方渗流方程解的有界性估计[J]. 厦门大学学报(自然科学版), 2004, 43(4): 444-449 |
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| 作者姓名： | 徐新英 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361005 |
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| 摘 要： | 首先利用对数索伯列夫不等式,经过较为复杂的运算,构造了一个特殊的一阶常微分方程,然后利用一阶常微分方程解对初值的依赖性,对具有Lr初值的非牛顿多方渗流方程的齐边值问题给出了解的有界性估计.
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| 关 键 词： | 非牛顿多方渗流方程 弱解 对数不等式 解的局部有界性 |
| 文章编号： | 0438-0479(2004)04-0444-06 |
| 修稿时间： | 2003-06-09 |
Bound Estimates of the Solution to Non-Newton and Multi-oritation Seeping Equation |
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| XU Xin-ying. Bound Estimates of the Solution to Non-Newton and Multi-oritation Seeping Equation[J]. Journal of Xiamen University(Natural Science), 2004, 43(4): 444-449 |
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| Authors: | XU Xin-ying |
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| Abstract: | In this article,a patricular linear differential equation of first order was constructed using logarithmic Sobolev inequality and by more complex operation,and then, bound estimates of the solution for non-Newton and multi-orientation seeping equation were obtained by using the dependence of the solution on the initial value of the linear differential equation of first order. |
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| Keywords: | non-Newton and multi-oritation seeping equation weak solution logarithmic Sobolev inequality local bound of solution |
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