Behavior of the solution of nonlinear hyperbolic equation in a domain with non-smooth boundary

In this paper the estimations of the solution and its derivative with respect to t of the initial boundary value problem for the second order hyperbolic type equation in a domain with non-smooth boundary are obtained. The question of smoothness of the generalized solution of the investigated problem...

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Veröffentlicht in:Applied mathematics letters 2011-03, Vol.24 (3), p.283-287
Hauptverfasser: Hajiev, T.S., Rasulov, R.A.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper the estimations of the solution and its derivative with respect to t of the initial boundary value problem for the second order hyperbolic type equation in a domain with non-smooth boundary are obtained. The question of smoothness of the generalized solution of the investigated problem is also studied.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2010.10.005