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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| container_title | Applied mathematics letters |
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| creator | Hajiev, T.S. Rasulov, R.A. |
| description | 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. |
| doi_str_mv | 10.1016/j.aml.2010.10.005 |
| format | Article |
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| ispartof | Applied mathematics letters, 2011-03, Vol.24 (3), p.283-287 |
| issn | 0893-9659 1873-5452 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); EZB-FREE-00999 freely available EZB journals |
| subjects | Behaviour Boundaries Boundary value problems Derivatives Equation Exact sciences and technology Hyperbolic Mathematical analysis Mathematics Non-smooth domain Nonlinear Nonlinearity Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Smoothness Solution |
| title | Behavior of the solution of nonlinear hyperbolic equation in a domain with non-smooth boundary |
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