TY - JOUR
T1 - Improved decay rates for solutions for a multidimensional generalized Benjamin-Bona-Mahony equation
AU - Said-Houari, Belkacem
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2014/1/1
Y1 - 2014/1/1
N2 - In this paper, we study the decay rates of solutions for the generalized Benjamin-Bona-Mahony equation in multi-dimensional space. For initial data in some L1-weighted spaces, we prove faster decay rates of the solutions. More precisely, using the Fourier transform and the energy method, we show the global existence and the convergence rates of the solutions under the smallness assumption on the initial data and we give better decay rates of the solutions. This result improves early works in J. Differential Equations 158(2) (1999), 314-340 and Nonlinear Anal. 75(7) (2012), 3385-3392. © 2014-IOS Press.
AB - In this paper, we study the decay rates of solutions for the generalized Benjamin-Bona-Mahony equation in multi-dimensional space. For initial data in some L1-weighted spaces, we prove faster decay rates of the solutions. More precisely, using the Fourier transform and the energy method, we show the global existence and the convergence rates of the solutions under the smallness assumption on the initial data and we give better decay rates of the solutions. This result improves early works in J. Differential Equations 158(2) (1999), 314-340 and Nonlinear Anal. 75(7) (2012), 3385-3392. © 2014-IOS Press.
UR - http://hdl.handle.net/10754/563326
UR - https://www.medra.org/servlet/aliasResolver?alias=iospress&doi=10.3233/ASY-131191
UR - http://www.scopus.com/inward/record.url?scp=84897409970&partnerID=8YFLogxK
U2 - 10.3233/ASY-131191
DO - 10.3233/ASY-131191
M3 - Article
SN - 0921-7134
VL - 86
SP - 155
EP - 164
JO - Asymptotic Analysis
JF - Asymptotic Analysis
IS - 3-4
ER -