具有吸收项和局部源的一维p-拉普拉斯方程解的熄灭 |
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引用本文: | 孙爱慧,;付军,;李春祥,;吴秀兰.具有吸收项和局部源的一维p-拉普拉斯方程解的熄灭[J].郑州大学学报(自然科学版),2014(3):25-27. |
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作者姓名: | 孙爱慧 ;付军 ;李春祥 ;吴秀兰 |
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作者单位: | [1]吉林师范大学数学学院,吉林四平136000; [2]吉林省实验中学,吉林长春130012 |
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基金项目: | 基金项目:吉林省自然科学基金资助项目,编号20115222;吉林省教育厅“十二五”科学技术研究项目,编号20130445. |
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摘 要: | 利用Lp模估计和Sobolev嵌入不等式,研究了一维情形下p-拉普拉斯方程解的熄灭,并给出解在有限时刻熄灭的充分条件及衰退估计.
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关 键 词: | 吸收项 局部源 p-拉普拉斯方程 熄灭 衰退估计 |
Extinction of Solutions for One Dimension p-Laplacian Equation with Absorption Terms and Local Sources |
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Institution: | SUN Ai-hui, FU Jun , LI Chun-xiang, WU Xiu-lan( 1. College of Mathematics, Jilin Normal University, Siping 136000, China ; 2. Jilin Provincial Experimental Middle School, Changchun 130012, China) |
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Abstract: | The sources was inv extinction of solutions for one-dimension p-Laplacian equations with absorptions and estigated ~ The sufficient conditions about the extinction and the decay estimates of solutions by L^p norm estimate and Sobolev embedding inequality were given. |
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Keywords: | absorption term local source p-Laplacian equations extinction decay estimate |
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