Modified scattering for a wave equation with weak dissipation

Jens Wirth

Modified scattering for a wave equation with weak dissipation

偏微分方程分析 2007-05-23 v1 经典分析与常微分方程

作者: Jens Wirth

摘要

We consider the Cauchy problem for the weakly dissipative wave equation $\square u+\frac\mu{1+t} u_t=0$ with parameter $\mu\ge2$ . Based on the explicit representations of solutions provided in [Math. Meth. Appl. Sci. 2004; {\bf 27}:101-124] sharp decay estimates for data from a dense subspace of the energy space are derived. Furthermore, sharpness is discussed in terms of a modified scattering theory.

关键词

cauchy problem energy decay for wave equations scattering theory

引用

@article{arxiv.math/0509229,
  title  = {Modified scattering for a wave equation with weak dissipation},
  author = {Jens Wirth},
  journal= {arXiv preprint arXiv:math/0509229},
  year   = {2007}
}

备注

7 pages

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