Artículo
Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations
Autor/es | Fernández Cara, Enrique
González Burgos, Manuel Teresa de Oteyza, María de la Luz de |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2006-09 |
Fecha de depósito | 2016-09-28 |
Publicado en |
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Resumen | This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear wave equation in
a cylinder Ω×(0, T). More precisely, we intend to drive the solution of the ... This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear wave equation in a cylinder Ω×(0, T). More precisely, we intend to drive the solution of the heat equation (resp. the wave equation) exactly to zero (resp. exactly to a prescribed but arbitrary final state). The control acts only on the heat equation and is supported by a set of the form ω × (0, T), where ω ⊂ Ω. In the wave equation, the restriction of the solution to the heat equation to another set O × (0, T) appears. The nonlinear terms are assumed to be globally Lipschitz-continuous. In the main result in this paper, we show that, under appropriate assumptions on T, ω and O, the equations are simultaneously controllable. |
Agencias financiadoras | Dirección General de Enseñanza Superior. España Universidad Autónoma de México (UNAM) |
Identificador del proyecto | BFM2003-06446
IN102799 |
Cita | Fernández Cara, E., González Burgos, M. y Teresa de Oteyza, M.d.l.L.d. (2006). Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations. Communications on Pure and Applied Analysis, 5 (3), 639-658. |
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