Explosive solution of the nonlinear equation of a parabolic type
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 rest...
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| Veröffentlicht in: | Applied mathematics letters 2011-10, Vol.24 (10), p.1676-1679 |
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| container_title | Applied mathematics letters |
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| creator | Hajiev, T.S. Rasulov, R.A. |
| description | 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. |
| doi_str_mv | 10.1016/j.aml.2011.04.016 |
| format | Article |
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| ispartof | Applied mathematics letters, 2011-10, Vol.24 (10), p.1676-1679 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals |
| subjects | Blow-up Constrictions Exact sciences and technology Existence Explosions Mathematical analysis Mathematics Mixed problem Nonlinear Nonlinear equations Nonlinearity Numerical analysis Numerical analysis. Scientific computation Parabolic Partial differential equations Scalars Sciences and techniques of general use Solution |
| title | Explosive solution of the nonlinear equation of a parabolic type |
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