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On Initial-Boundary Value Problem on Semiaxis for Generalized Kawahara Equation
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by
A. V. Faminskii,
E. V. Martynov
Published
in Contemporary Mathematics. Fundamental Directions
by Peoples' Friendship University of Russia.
2019 Volume 65, p683-699
Abstract
In this paper, we consider initial-boundary value problem on semiaxis for generalized Kawahara equation with higher-order nonlinearity. We obtain the result on existence and uniqueness of the global solution. Also, if the equation contains the absorbing term vanishing at infinity, we prove that the solution decays at large time values.
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