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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 10, Pages 1860–1877 (Mi zvmmf101)  
This article is cited in 1 scientific paper (total in 1 paper)

An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation

M. O. Korpusov, A. G. Sveshnikov

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
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Abstract: An initial-boundary value problem is considered for a model equation governing waves in crystalline semiconductors with allowance for strong spatial dispersion, linear dissipation, and sources of free charges. The weak generalized local-in-time solvability of the problem is proved. Sufficient conditions are obtained for the blowup of the solution and for global-in-time solvability. Two-sided estimates for the blowup time are derived.
Key words: Sobolev-type nonlinear dissipative equations, waves in crystalline semiconductors, local solvability conditions, sufficient blowup conditions.
Received: 01.11.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 10, Pages 1857–1874
DOI: https://doi.org/10.1134/S0965542508100096
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. O. Korpusov, A. G. Sveshnikov, “An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008), 1860–1877; Comput. Math. Math. Phys., 48:10 (2008), 1857–1874
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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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