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May/June 2016 Fast energy decay for wave equations with variable damping coefficients in the $1$-D half line
Ryo Ikehata, Takeshi Komatsu
Differential Integral Equations 29(5/6): 421-440 (May/June 2016).

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 $x = \infty$.

Citation

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Ryo Ikehata. Takeshi Komatsu. "Fast energy decay for wave equations with variable damping coefficients in the $1$-D half line." Differential Integral Equations 29 (5/6) 421 - 440, May/June 2016.

Information

Published: May/June 2016
First available in Project Euclid: 9 March 2016

zbMATH: 1363.35231
MathSciNet: MR3471967

Subjects:
Primary: 35B40, 35L05, 35L20, 5B33

Rights: Copyright © 2016 Khayyam Publishing, Inc.

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Vol.29 • No. 5/6 • May/June 2016
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