Geodesic
Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 5, pp. 1235-1265

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Initial-boundary value problems in a half-strip with different types of boundary conditions for two-dimensional Zakharov–Kuznetsov equation are considered. Results on global existence, uniqueness and long-time decay of weak and regular solutions are established.

DOI : 10.1016/j.anihpc.2017.11.003
Classification : 35Q53, 35B40
Keywords: Zakharov–Kuznetsov equation, Initial-boundary value problem, Global solution, Decay 
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     author = {Faminskii, Andrei V.},
     title = {Initial-boundary value problems in a half-strip for two-dimensional {Zakharov{\textendash}Kuznetsov} equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1235--1265},
     publisher = {Elsevier},
     volume = {35},
     number = {5},
     year = {2018},
     doi = {10.1016/j.anihpc.2017.11.003},
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     zbl = {1393.35203},
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     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2017.11.003/}
}
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Faminskii, Andrei V. Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 5, pp. 1235-1265. doi: 10.1016/j.anihpc.2017.11.003

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