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L2 asymptotic profiles of solutions to linear damped wave equations
Journal of Differential Equations ( IF 2.4 ) Pub Date : 2021-06-21 , DOI: 10.1016/j.jde.2021.06.021
Hironori Michihisa

In this paper we obtain higher order asymptotic expansions of solutions to the Cauchy problem of the linear damped wave equation in RnuttΔu+ut=0,u(0,x)=u0(x),ut(0,x)=u1(x), where nN and u0, u1L1(Rn)L2(Rn). Established hyperbolic effects seem to be new in the sense that the order of obtained expansions depends on the spatial dimension.



中文翻译:

L 2线性阻尼波动方程解的渐近分布

在本文中,我们获得了线性阻尼波动方程的柯西问题解的高阶渐近展开式 电阻n-Δ+=0,(0,X)=0(X),(0,X)=1(X), 在哪里 nN0, 11(电阻n)2(电阻n). 建立的双曲线效应似乎是新的,因为获得的扩展顺序取决于空间维度。

更新日期:2021-06-21
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