The two-component Camassa-Holm system in weighted $L_p$ spaces
Analysis of PDEs
2014-02-18 v1 Mathematical Physics
math.MP
Abstract
We present some new persistence results for the non-periodic two-component Camassa-Holm (2CH) system in weighted spaces. Working with moderate weight functions that are commonly used in time-frequency analysis, the paper generalizes some recent persistence results for the Camassa-Holm equation [L. Brandolese, Int. Math. Res. Notices 22 (2012) 5161-81] to its supersymmetric extension. As an application we discuss the spatial asymptotic profile of solutions to 2CH.
Keywords
Cite
@article{arxiv.1303.0717,
title = {The two-component Camassa-Holm system in weighted $L_p$ spaces},
author = {Martin Kohlmann},
journal= {arXiv preprint arXiv:1303.0717},
year = {2014}
}
Comments
12 pages, to appear in ZAMM