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

Abstract

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.

12 pages, to appear in ZAMM

References in corpus (2)

• Variational derivation of the Camassa-Holm shallow water equation
• Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation

Cited by in corpus (1)

• Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy