Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system
1 School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China
2 Department of Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China
Boundary Value Problems 2014, 2014:108 doi:10.1186/1687-2770-2014-108Published: 9 May 2014
The persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system are investigated. We find that if the initial data with their derivatives of the system exponentially decay at infinity, then the corresponding solution also exponentially decays at infinity.
MSC: 35G25, 35L15, 35Q58.