| 一类退化抛物型方程解的正性和长时间行为 |
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| 引用本文： | 郭盈,周文书,唐从书.一类退化抛物型方程解的正性和长时间行为[J].大连民族学院学报,2009,11(5):426-429. |
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| 作者姓名： | 郭盈 周文书 唐从书 |
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| 作者单位： | 1. 长春大学,公共教研部,吉林,长春,130022
2. 大连民族学院,理学院,辽宁,大连,116605 |
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| 基金项目： | 国家自然科学基金资助项目，辽宁省高等学校科研项目 |
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| 摘 要： | 利用弱比较原理、古典分析技巧和能量方法,研究了一类退化抛物型方程初边值问题解的正性和长时间渐进行为,并给出了最大解的精确衰减率和熄灭集。所得结果推广和补充了该研究领域若干已有的结果。
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| 关 键 词： | 退化抛物方程 弱解 正性 长时间行为 衰减估计 |
Positivity and Long Time Behavior of Solutions for a Degenerate Parabolic Equation |
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| GUO Ying,ZHOU Wen-shu,TANG Cong-shu.Positivity and Long Time Behavior of Solutions for a Degenerate Parabolic Equation[J].Journal of Dalian Nationalities University,2009,11(5):426-429. |
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| Authors: | GUO Ying ZHOU Wen-shu TANG Cong-shu |
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| Institution: | GUO Ying,ZHOU Wen-shu,TANG Cong-shu(1.Public Teaching , Research Department,Changchun University,Changchun Jilin 130022,China,2.College of Science,Dalian Nationalities University,Dalian Liaoning 116605,China) |
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| Abstract: | By means of weak comparison theorem,classical analysis techniques and energy method,positivity and long time behavior of solutions for a degenerate parabolic equation are studied.Moreover,the precise decay rate and quenching set of the maximal weak solution are also determined.The results extend and supplement the previous works. |
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| Keywords: | degenerate parabolic equation weak solution positivity long time behavior decay estimate |
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