| 熵解的一个正则性结果 |
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| 引用本文： | 张琪,王莲虹,高红亚.熵解的一个正则性结果[J].河北大学学报(自然科学版),2019,39(2):113. |
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| 作者姓名： | 张琪 王莲虹 高红亚 |
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| 作者单位： | 承德医学院计算机实验中心,河北承德,067000;河北大学数学与信息科学学院,河北保定,071002 |
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| 摘 要： | 非齐次散度型椭圆方程的带有非齐次边界条件的边界值问题, 在控制增长条件、强制性条件以及非齐次项的适当的可积性假设条件下,利用Stampacchia引理和Sobolev空间的分析方法,得到了熵解的正则性结果,推广了已知的结果.
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| 关 键 词： | 正则性 熵解 各项异性椭圆方程 边界值问题 |
| 收稿时间： | 2018-07-21 |
A regularity result of entropy solutions |
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| ZHANG Qi,WANG Lianhong,GAO Hongya.A regularity result of entropy solutions[J].Journal of Hebei University (Natural Science Edition),2019,39(2):113. |
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| Authors: | ZHANG Qi WANG Lianhong GAO Hongya |
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| Institution: | 1.Computer Center of Experiment, Chengde Medical College, Chengde 067000, China; 2.College of Mathematics and Information Science, Hebei University, Baoding 071002, China |
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| Abstract: | This paper deals with nonhomogeneous boundary value problem for nonhomogeneous divergence type elliptic equation. A regularity result is derived for entropy solutions under some controllable and coercivity conditions, and some proper integrable assumptions on the nonlinear term,by using the classical Stampacchia Lemma and the methods in Sobolev spaces. The result obtained in this paper can be regarded as a generalization of the classical results. |
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| Keywords: | regularity entropy solution anisotropic elliptic equation boundary value problem |
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