Asymptotic Profiles of Solutions for Structural Damped Wave Equations
Asymptotic Profiles of Solutions for Structural Damped Wave Equations
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DOI：
10.1007/s10884-019-09731-8
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发表时间：
2016-07
影响因子：
1.3
通讯作者：
R. Ikehata;H. Takeda
中科院分区：
文献类型：
--
作者：
R. Ikehata;H. Takeda
本文得到了结构阻尼波动方程Cauchy问题解的几个渐近轮廓。我们的结果是解的一个常数乘以一个特殊函数as的近似公式，它表明解的渐近轮廓根据和的值分为5种模式。我们在此强调，本文的主要兴趣在于本案。
In this paper, we obtain several asymptotic profiles of solutions to the Cauchy problem for structurally damped wave equations, whereand. Our result is the approximation formula of the solution by a constant multiple of a special function as, which states that the asymptotic profiles of the solutions are classified into 5 patterns depending on the valuesand. Here we emphasize that our main interest of the paper is in the case.