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This article is cited in 6 scientific papers (total in 6 papers)
Global Solvability of Initial Boundary-Value Problems for Nonlinear Analogs of the Boussinesq Equation
Sh. Amirova, A. I. Kozhanovbc 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.
Received: 27.11.2014
Citation:
Sh. Amirov, A. I. Kozhanov, “Global Solvability of Initial Boundary-Value Problems for Nonlinear Analogs of the Boussinesq Equation”, Mat. Zametki, 99:2 (2016), 171–180; Math. Notes, 99:2 (2016), 183–191
Linking options:
https://www.mathnet.ru/eng/mzm10617https://doi.org/10.4213/mzm10617 https://www.mathnet.ru/eng/mzm/v99/i2/p171
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