Global Solvability of Initial Boundary-Value Problems for Nonlinear Analogs of the Boussinesq Equation
Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 171-180
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The solvability of the natural (first, second, and mixed) initial boundary-value problems for nonlinear analogs of the Boussinesq equation is studied. Uniqueness theorems for regular solutions and global solvability theorems are proved.
Mots-clés :
Boussinesq equation
Keywords: initial boundary-value problem, uniqueness theorem, global solvability, Hölder's inequality, Young's inequality, Gronwall–Bellman lemma.
Keywords: initial boundary-value problem, uniqueness theorem, global solvability, Hölder's inequality, Young's inequality, Gronwall–Bellman lemma.
@article{MZM_2016_99_2_a1,
author = {Sh. Amirov and A. I. Kozhanov},
title = {Global {Solvability} of {Initial} {Boundary-Value} {Problems} for {Nonlinear} {Analogs} of the {Boussinesq} {Equation}},
journal = {Matemati\v{c}eskie zametki},
pages = {171--180},
publisher = {mathdoc},
volume = {99},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a1/}
}
TY - JOUR AU - Sh. Amirov AU - A. I. Kozhanov TI - Global Solvability of Initial Boundary-Value Problems for Nonlinear Analogs of the Boussinesq Equation JO - Matematičeskie zametki PY - 2016 SP - 171 EP - 180 VL - 99 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a1/ LA - ru ID - MZM_2016_99_2_a1 ER -
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Sh. Amirov; A. I. Kozhanov. Global Solvability of Initial Boundary-Value Problems for Nonlinear Analogs of the Boussinesq Equation. Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 171-180. http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a1/