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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 0893-9659 1873-5452 |
DOI: | 10.1016/j.aml.2010.10.005 |