Blow-Up of the solution of the initial boundary-value problem for the generalized Boussinesq equation with nonlinear boundary condition |
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Authors: | P A Makarov |
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Institution: | 1. Tikhomirov Instrument Engineering Research Institute, Zhukovskii, Moscow Region, Russia
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Abstract: | The initial boundary-value problem for a nonlinear equation of pseudoparabolic type with nonlinear Neumann boundary condition is considered. We prove a local theorem on the existence of solutions. Using the method of energy inequalities, we obtain sufficient conditions for the blow-up of solutions in a finite time interval and establish upper and lower bounds for the blow-up time. |
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