Sh. Amirov, A. I. Kozhanov, “Global Solvability of Initial Boundary-Value Problems for Nonlinear Analogs of the Boussinesq Equation”, Mat. Zametki, 2016, Volume 99, Issue 2,Pages <nobr>171

This article is cited in 6 papers

Global Solvability of Initial Boundary-Value Problems for Nonlinear Analogs of the Boussinesq Equation

Sh. Amirov^a, A. I. Kozhanov^bc

^a Karabük University, Turkey
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^c Novosibirsk State University

Abstract: 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.

Keywords: Boussinesq equation, initial boundary-value problem, uniqueness theorem, global solvability, Hölder's inequality, Young's inequality, Gronwall–Bellman lemma.

UDC: 517.946

Received: 27.11.2014

DOI: 10.4213/mzm10617