On initial-boundary value problem on semiaxis for generalized Kawahara equation
Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 683-699
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{CMFD_2019_65_4_a9,
author = {A. V. Faminskii and E. V. Martynov},
title = {On initial-boundary value problem on semiaxis for generalized {Kawahara} equation},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {683--699},
publisher = {mathdoc},
volume = {65},
number = {4},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a9/}
}
TY - JOUR AU - A. V. Faminskii AU - E. V. Martynov TI - On initial-boundary value problem on semiaxis for generalized Kawahara equation JO - Contemporary Mathematics. Fundamental Directions PY - 2019 SP - 683 EP - 699 VL - 65 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a9/ LA - ru ID - CMFD_2019_65_4_a9 ER -
%0 Journal Article %A A. V. Faminskii %A E. V. Martynov %T On initial-boundary value problem on semiaxis for generalized Kawahara equation %J Contemporary Mathematics. Fundamental Directions %D 2019 %P 683-699 %V 65 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a9/ %G ru %F CMFD_2019_65_4_a9
A. V. Faminskii; E. V. Martynov. On initial-boundary value problem on semiaxis for generalized Kawahara equation. Contemporary Mathematics. Fundamental Directions, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, Tome 65 (2019) no. 4, pp. 683-699. http://geodesic.mathdoc.fr/item/CMFD_2019_65_4_a9/