On Initial-Boundary Value Problem on Semiaxis for Generalized Kawahara Equation

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作者
Faminskii A.V. [1 ]
Martynov E.V. [1 ]
机构
[1] Peoples’ Friendship University of Russia (RUDN University), Moscow
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10.1007/s10958-022-06089-z
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摘要
In this paper, we consider initial-boundary value problem on a semiaxis for the generalized Kawahara equation with higher-order nonlinearity. We obtain a result on the existence and uniqueness of the global solution. Also, if the equation contains an absorbing term vanishing at infinity, we prove that the solution decays at large time values. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码:849 / 864
页数:15
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