Open AccessOn Initial-Boundary Value Problem on Semiaxis for Generalized Kawahara Equation
Author(s) -
Andrei V. Faminskii,
Andrei V. Faminskii,
E. V. Martynov,
E. V. Martynov
Publication year - 2019
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2019-65-4-683-699
Subject(s) - uniqueness , mathematics , boundary value problem , initial value problem , mathematical analysis , infinity , term (time) , order (exchange) , nonlinear system , value (mathematics) , physics , statistics , finance , quantum mechanics , economics
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.