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Matematicheskie Zametki, 2016, Volume 99, Issue 2, Pages 171–180
DOI: https://doi.org/10.4213/mzm10617 (Mi mzm10617) 		 
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
Full-text PDF (452 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm10617
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
English version:
Mathematical Notes, 2016, Volume 99, Issue 2, Pages 183–191
DOI: https://doi.org/10.1134/S0001434616010211
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm10617
  • https://doi.org/10.4213/mzm10617
  • https://www.mathnet.ru/eng/mzm/v99/i2/p171
    • This publication is cited in the following 6 articles:
    1. A. B. Bekiev, “Razreshimost nelokalnoi obratnoi zadachi dlya uravneniya chetvertogo poryadka”, Vestnik KRAUNTs. Fiz.-mat. nauki, 42:1 (2023), 9–26  mathnet  crossref
    2. A. B. Bekiev, R. M. Shykhyev, “Razreshimost kraevoi zadachi dlya smeshannogo uravneniya chetvertogo poryadka”, Doklady AMAN, 22:2 (2022), 11–20  mathnet  crossref  elib
    3. A. I. Kozhanov, G. V. Namsaraeva, “Lineinye obratnye zadachi dlya odnogo klassa uravnenii sobolevskogo tipa”, Chelyab. fiz.-matem. zhurn., 3:2 (2018), 153–171  mathnet  crossref
    4. A. I. Grigoreva, “Zadachi sopryazheniya dlya nekotorykh analogov uravneniya prodolnykh voln s razryvnym koeffitsientom”, Chelyab. fiz.-matem. zhurn., 3:3 (2018), 276–294  mathnet  crossref  elib
    5. A. I. Grigoreva, “Nachalno-kraevaya zadacha s usloviyami sopryazheniya dlya uravnenii sostavnogo tipa s dvumya razryvnymi koeffitsientami”, Matematicheskie zametki SVFU, 25:2 (2018), 12–26  mathnet  crossref  elib
    6. Sh. Amirov, M. Anutgan, “Analytical solitary wave solutions for the nonlinear analogues of the Boussinesq and sixth-order modified Boussinesq equations”, J. Appl. Anal. Comput., 7:4 (2017), 1613–1623  crossref  mathscinet  isi  scopus
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