Blow-up of solutions of Sobolev-type nonlinear equations with cubic sourcesстатья
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Дата последнего поиска статьи во внешних источниках: 2 октября 2014 г.
Аннотация:We consider initial-boundary value problems for Sobolev-type equations with cubic sources in a bounded three-dimensional domain with a smooth boundary. We obtain sufficient conditions for the time-global solvability of the problems, understood in a strongly generalized sense, and sufficient conditions for the finite-time blow-up of the solution. In addition, we obtain lower and upper bounds for the blow-up time of the solution of the problem. We give a physical interpretation of the results