Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation

LIU Qiang; ZHANG Liwei

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Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation

更新时间：2023-12-11

- Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 2, Pages: 55-58(2015)
- 作者机构：
  
  大连理工大学数学学院,辽宁,大连,116024
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 March 2015，
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LIU Qiang, ZHANG Liwei. Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(2):55-58(2015)
DOI：

LIU Qiang, ZHANG Liwei. Asymptotic Behaviors of Solutions for a Nonlinear Singular Parabolic Equation. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(2):55-58(2015) DOI：

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。

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.

关键词

奇异抛物方程弱解渐进行为收敛率

Keywords

singular parabolic equationweak solutionasymptotic behaviorconvergence rate

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Related Institution

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