Explosive solution of the nonlinear equation of a parabolic type |
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Authors: | TS Hajiev RA Rasulov |
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Institution: | 1. Institute of Mathematics and Mechanics, Acad. of Sciences Baku, Azerbaijan;2. The Sheki Filial of the Institute of Teachers, Sheki, Az5, Azerbaijan |
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Abstract: | In this paper the unbounded increasing solution of the scalar nonlinear partial equation of the parabolic type for finite time is investigated. The sufficient condition for nonlinearity is established. Under this condition every solution of the investigated problem is exploded by the absence of restriction to smallness on the initial function. The existence of the solution is proved by smallness of the initial function. |
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