Geodesic
The Global Attractor of a Damped, Forced Hirota Equation in H 1
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 295-310

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DOI

The existence of the global attractor of a damped forced Hirota equation in the phase space ${{H}^{1}}\left( \mathbb{R} \right)$ is proved. The main idea is to establish the so-called asymptotic compactness property of the solution operator by energy equation approach.
DOI : 10.4153/CMB-2010-021-3
Mots-clés : 35Q53, 35B40, 35B41, 37L30, global attractor, Fourier restriction norm, damping system, asymptotic compactness 
Guo, Boling; Huo, Zhaohui. The Global Attractor of a Damped, Forced Hirota Equation in H 1. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 295-310. doi: 10.4153/CMB-2010-021-3
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     title = {The {Global} {Attractor} of a {Damped,} {Forced} {Hirota} {Equation} in {H} 1},
     journal = {Canadian mathematical bulletin},
     pages = {295--310},
     year = {2010},
     volume = {53},
     number = {2},
     doi = {10.4153/CMB-2010-021-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-021-3/}
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