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An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation |
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| Authors: | M. O. Korpusov A. G. Sveshnikov |
| Affiliation: | (1) Faculty of Physics, Moscow State University, Moscow, 119992, Russia |
| 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. |
| Keywords: | Sobolev-type nonlinear dissipative equations waves in crystalline semiconductors local solvability conditions sufficient blowup conditions |
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