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| 一类非线性奇异抛物方程解的渐进行为 | |
| 引用本文： | 刘强,张立卫. 一类非线性奇异抛物方程解的渐进行为[J]. 中山大学学报(自然科学版), 2015, 54(2): 55-58 |
| 作者姓名： | 刘强 张立卫 |
| 作者单位： | 1.大连理工大学数学学院,辽宁 大连 116024; 2. 大连民族学院理学院,辽宁 大连 116600 |
| 基金项目： | 国家自然科学基金资助项目(11071029) |
| 摘 要： | 利用紧致方法和先验估计技巧,研究了一类奇异非线性抛物方程的弱解当λ→0+和λ→+∞时的渐进行为(其中λ为方程中的一个参数),并且建立了解的收敛率。揭示了所论方程与发展型p-Laplace方程之间的深刻联系。 |
| 关 键 词： | 奇异抛物方程 弱解 渐进行为 收敛率 |
Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation |
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| LIU Qiang,ZHANG Liwei. Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2015, 54(2): 55-58 | |
| Authors: | LIU Qiang ZHANG Liwei |
| Affiliation: | 1. School of Mathematics, Dalian University of Technology, Dalian 116024, China; 2. School of Science, Dalian Nationalities University, Dalian 116600, China |
| Abstract: | By compactness argument and a priori estimate technique, the asymptotic behaviors of solutions, as λ→0+and λ→+∞ respectively, for a nonlinear singular parabolic equation are studied, where λ is a parameter of this equation. And the convergence rates of solutions are established. A deep relation between the equation considered here and the evolutionary p-Laplace equation is revealed. |
| Keywords: | singular parabolic equation weak solution asymptotic behavior convergence rate |
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