Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term
In this article, we investigate the initial-value problem for the sixth-order Boussinesq equation with fourth order dispersion term. Existence of a a global solution and asymptotic behavior in Morrey spaces are established under suitable conditions. The proof is mainly based on the decay proper...
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Texas State University
2018-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/161/abstr.html |
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doaj-49c87243401f43989be58b2a8d0834e52020-11-24T22:22:24ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-09-012018161,114Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion termYu-Zhu Wang0Yanshuo Li1Qinhui Hu2 North China Univ. of Water Resources, Zhengzhou, China North China Univ. of Water Resources, Zhengzhou, China North China Univ. of Water Resources, Zhengzhou, China In this article, we investigate the initial-value problem for the sixth-order Boussinesq equation with fourth order dispersion term. Existence of a a global solution and asymptotic behavior in Morrey spaces are established under suitable conditions. The proof is mainly based on the decay properties of the solutions operator in Morrey spaces and the contraction mapping principle.http://ejde.math.txstate.edu/Volumes/2018/161/abstr.htmlSixth order Boussinesq equationMorrey spacesglobal solutiondecay estimate |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yu-Zhu Wang Yanshuo Li Qinhui Hu |
| spellingShingle |
Yu-Zhu Wang Yanshuo Li Qinhui Hu Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term Electronic Journal of Differential Equations Sixth order Boussinesq equation Morrey spaces global solution decay estimate |
| author_facet |
Yu-Zhu Wang Yanshuo Li Qinhui Hu |
| author_sort |
Yu-Zhu Wang |
| title |
Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term |
| title_short |
Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term |
| title_full |
Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term |
| title_fullStr |
Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term |
| title_full_unstemmed |
Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term |
| title_sort |
asymptotic behavior of the sixth-order boussinesq equation with fourth-order dispersion term |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2018-09-01 |
| description |
In this article, we investigate the initial-value problem for the
sixth-order Boussinesq equation with fourth order dispersion term.
Existence of a a global solution and asymptotic behavior in Morrey
spaces are established under suitable conditions.
The proof is mainly based on the decay properties of the solutions
operator in Morrey spaces and the contraction mapping principle. |
| topic |
Sixth order Boussinesq equation Morrey spaces global solution decay estimate |
| url |
http://ejde.math.txstate.edu/Volumes/2018/161/abstr.html |
| work_keys_str_mv |
AT yuzhuwang asymptoticbehaviorofthesixthorderboussinesqequationwithfourthorderdispersionterm AT yanshuoli asymptoticbehaviorofthesixthorderboussinesqequationwithfourthorderdispersionterm AT qinhuihu asymptoticbehaviorofthesixthorderboussinesqequationwithfourthorderdispersionterm |
| _version_ |
1725768443627569152 |