| 一类偏微分方程弱解存在性 |
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| 引用本文： | 邰士剑,白露. 一类偏微分方程弱解存在性[J]. 江汉大学学报(自然科学版), 2008, 36(3): 17-18 |
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| 作者姓名： | 邰士剑 白露 |
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| 作者单位： | 华中师范大学数学与统计学学院,武汉,430079 |
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| 摘 要： | 一类如下拟线性偏微分方程{-div(|Du|p-2Du)+b(Du)+u|u|p-2u=0,在U内,u=0,在U上.这里的U是有界的并且边界是光滑的区域,应用不动点方法研究此类方程弱解的存在性.
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| 关 键 词： | 偏微分方程 弱解 不动点 紧算子 存在性 |
Existence of Weak Solution for a Class of Quasilinear Equation |
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| TAI Shi-jian,BAI Lu. Existence of Weak Solution for a Class of Quasilinear Equation[J]. Journal of Jianghan University(Natural Sciences), 2008, 36(3): 17-18 |
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| Authors: | TAI Shi-jian BAI Lu |
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| Affiliation: | (School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China) |
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| Abstract: | The existence of the weak solution for a class of quasilinear equation {-div(|Du|p-2Du) b(Du) u|u|p-2u=0,on U.is studied by using the fixed point methods,where U is bounded and U is smooth. |
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| Keywords: | partial differential equation weak solution fixed point compact operator existence |
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