Exponential Decay for Nonlinear Biharmonic Equations
Exponential Decay for Nonlinear Biharmonic Equations
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DOI：
10.1142/s0219199707002629
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发表时间：
2007-10
影响因子：
1.6
通讯作者：
Yinbin Deng;Yi A. Li
中科院分区：
文献类型：
--
作者：
Yinbin Deng;Yi A. Li
本文的目的是建立非线性双调和方程解的指数衰减性质。我们引入了当λ < 0时线性双调和算子Δ2 - λ的基本解。利用作为Bessel方程解的Hankel函数的一些性质，得到了Δ2 - λ在∞和0处的基本解的渐近表示。（*）解的渐近估计可以由Δ2 - λ的基本解的性质得到。
The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear biharmonic equation We introduce the fundamental solutions for the linear biharmonic operator Δ2 - λ if λ < 0. By applying some properties of Hankel functions, which are the solutions of Bessel's equation, we obtain the asymptotic representation of the fundamental solution of Δ2 - λ at ∞ and 0. Asymptotic estimates of the solutions of (*) can be obtained from the properties of the fundamental solutions of Δ2 - λ.