共被期刊论文引用了3次
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| 1 | COMPLEXITY OF ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE POROUS MEDIUM EQUATION WITH ABSORPTION显示文摘In this paper we analyze the large time behavior of nonnegative solutions of the Cauchy problem of the porous medium equation with absorption u t-u m + γup = 0, where γ≥ 0, m > 1 and p > m + 2/N . We will show that if γ = 0 and 0 < μ < 2N/(N(m-1)+2), or γ > 0 and 1/(p-1)<μ<2N/(N(m-1)+2), then for any nonnegative function φ in a nonnegative countable subset F of the Schwartz space S (R N ), there exists an initial-value u0 ∈C(RN) with lim x →∞ u 0 (x) = 0 such that φ is an ω-limit point of the rescaled solutions t μ/2 u(t β·, t), where β =[2-μ(m-1)]/4 . | 尹景学 王良伟 黄锐 | 2010 | Acta Mathematica Scientia2010，30，6： | 3 |
| 2 | Equivalence Relation between Initial Values and Solutions for Evolution p-Laplacian Equation in Unbounded Space显示文摘In this paper,an equivalence relation between the ω-limit set of initial values and the ω-limit set of solutions is established for the Cauchy problem of evolution p-Laplacian equation in the unbounded space Yσ(RN).To overcome the difficulties caused by the nonlinearity of the equation and the unbounded solutions,we establish the propagation estimate and the growth estimate for the solutions.It will be demonstrated that the equivalence relation can be used to study the asymptotic behavior of solutions. | Liangwei Wang Jingxue Yin Langhao Zhou | 2020 | Communications in Mathematical Research2020，36，1： | 0 |
| 3 | 非线性扩散方程解的复杂渐近行为显示文摘本文是一篇综述,简要介绍非线性扩散方程解渐近行为的研究结果与研究方法.以非线性扩散方程的Cauchy问题为主线,本文主要阐述研究其解复杂渐近行为的方法与结论. | 王良伟 尹景学 | 2019 | 中国科学:数学2019，49，2： | 0 |
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