Global existence of solutions for damped wave equations with nonlinear memory
Global existence of solutions for damped wave equations with nonlinear memory
复制标题
非线性记忆阻尼波动方程解的全局存在性
DOI：
10.1080/00036811.2012.698268
复制
发表时间：
2013
影响因子：
1.1
通讯作者：
Shihui Zhu
中科院分区：
文献类型：
--
作者：
Han Yang;Jianli Shi;Shihui Zhu
研究具有非线性记忆的阻尼波方程的柯西问题。对于非紧支撑的小能量初值，当1 ≤ n ≤ 3时，得到了解的整体存在性和渐近性态。这一结果推广了Fino [Critical index for damped wave equations with nonlinear memory，Nonlinear Anal. 74（2011），pp. 5495-5505]，该方法处理了具有完全支持的初始数据的解。
This article studies the Cauchy problem for the damped wave equation with nonlinear memory. For a noncompactly supported initial data with small energy, global existence and asymptotic behaviour of solutions are obtained when 1 ≤ n ≤ 3. This result generalized the previous result by Fino [Critical exponent for damped wave equations with nonlinear memory, Nonlinear Anal. 74 (2011), pp. 5495–5505], which dealt with the solution with compactly supported initial data.