## Differential and Integral Equations

### Fast energy decay for wave equations with variable damping coefficients in the $1$-D half line

#### Abstract

We derive fast decay estimates of the total energy for wave equations with localized variable damping coefficients, which are dealt with in the one dimensional half line $(0,\infty)$. The variable damping coefficient vanishes near the boundary $x = 0$, and is effective critically near spatial infinity $x = \infty$.

#### Article information

Source
Differential Integral Equations Volume 29, Number 5/6 (2016), 421-440.

Dates
First available in Project Euclid: 9 March 2016

Ikehata, Ryo; Komatsu, Takeshi. Fast energy decay for wave equations with variable damping coefficients in the $1$-D half line. Differential Integral Equations 29 (2016), no. 5/6, 421--440.https://projecteuclid.org/euclid.die/1457536885