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

Ryo Ikehata; Takeshi Komatsu

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

Analysis of PDEs 2015-06-17 v1

Authors: Ryo Ikehata , Takeshi Komatsu

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 $x = \infty$ .

Keywords

wave equations variable damping coefficients energy decay half line localized damping

Cite

@article{arxiv.1506.04851,
  title  = {Fast energy decay for wave equations with variable damping coefficients in the 1-D half line},
  author = {Ryo Ikehata and Takeshi Komatsu},
  journal= {arXiv preprint arXiv:1506.04851},
  year   = {2015}
}

Comments

Submitted in J. Math. Anal. Appl. (This version includes a little modification, which is not essential)

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