Decay of Solutions of Generalized Benjamin-Bona-Mahony Equations

Authors
Linghai, Zhang
Citation
Linghai, Zhang, Decay of Solutions of Generalized Benjamin-Bona-Mahony Equations, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 10(4), 1994, pp. 428-438
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
10
Issue
4
Year of publication
1994
Pages
428 - 438
Database
ACNP
SICI code
Abstract
This paper is a discussion of global solutions to the initial value problems for general- ized Banjamin-Bona-Mahony equations. Some long time behaviors of the solutions are presented with the initial data in some certain Sobolev spaces. We employ the method of integral estimate, Fourier transform and Gronwall's inequality.