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Matematicheskie Zametki, 2016, Volume 100, Issue 5, Pages 656–671
DOI: https://doi.org/10.4213/mzm10219 (Mi mzm10219) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a Certain Nonlinear Nonlocal Sobolev-Type Wave Equation

A. I. Aristov
Full-text PDF (442 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm10219
Abstract: The initial boundary-value problem for the nonlinear nonlocal Sobolev equation is studied. Sufficient conditions for local and for global (with respect to time) solvability are obtained. For the case of local (not global) solvability, upper and lower bounds for the lifespan of the solution are obtained in the form of explicit and implicit formulas.
Keywords: nonlinear Sobolev-type equation, blow-up of solutions.
Received: 06.07.2013
Revised: 07.06.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 1, Pages 17–30
DOI: https://doi.org/10.1134/S0001434617010023
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. I. Aristov, “On a Certain Nonlinear Nonlocal Sobolev-Type Wave Equation”, Mat. Zametki, 100:5 (2016), 656–671; Math. Notes, 101:1 (2017), 17–30
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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