Differential and Integral Equations
- Differential Integral Equations
- Volume 29, Number 5/6 (2016), 421-440.
Fast energy decay for wave equations with variable damping coefficients in the $1$-D half line
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 $x = \infty$.
Differential Integral Equations Volume 29, Number 5/6 (2016), 421-440.
First available in Project Euclid: 9 March 2016
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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