Geodesic
An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 10, pp. 1860-1877 
M. O. Korpusov; A. G. Sveshnikov. An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 10, pp. 1860-1877. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_10_a8/
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     title = {An initial-boundary value problem for {a~Sobolev-type} strongly nonlinear dissipative equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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