An identification problem for a time periodic nonlinear wave equation in non cylindrical domains

The existence of a time-periodic solution of a free boundary nonlinear wave equation in non cylindrical domains is established. The problem arises in the study of the identification of the coefficient of the wave equation and of the boundary of the region from the observed values of the solution in...

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Veröffentlicht in:	Nonlinear analysis 2012, Vol.75 (1), p.182-193
1. Verfasser:	An Ton, Bui
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundaries Boundary value problems Calculus of variations and optimal control Coefficients Exact sciences and technology Free boundaries Free boundary Identification Mathematical analysis Mathematics Nonlinear wave equation Nonlinearity Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Partial differential equations Sciences and techniques of general use Time periodic solutions Wave equations
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Beschreibung
Zusammenfassung:	The existence of a time-periodic solution of a free boundary nonlinear wave equation in non cylindrical domains is established. The problem arises in the study of the identification of the coefficient of the wave equation and of the boundary of the region from the observed values of the solution in a fixed subregion.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2011.08.020