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

Ryo Ikehata; Takeshi Komatsu

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arXiv · 1506.04851

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

Ryo Ikehata·Takeshi Komatsu

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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 $x = \infty$.

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Ryo Ikehata, Takeshi Komatsu. 2015-06-16. Fast energy decay for wave equations with variable damping coefficients in the 1-D half line. https://arxiv.org/abs/1506.04851

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