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
Hauptverfasser:	Hajiev, T.S., Rasulov, R.A.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Zusammenfassung:	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.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2011.04.016