1303.0717 (Martin Kohlmann)

The two-component Camassa-Holm system in weighted $L_p$ spaces    [PDF]

Martin Kohlmann

We present some new persistence results for the non-periodic two-component Camassa-Holm (2CH) system in weighted $L_p$ 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.

View original: http://arxiv.org/abs/1303.0717