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Título:
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Null controllability of the 1-d heat equation as limit of the controllability of dissipative wave equations
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Autores:
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López Montes, Antonio ;
Zuazua Iriondo, Enrique
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 1998
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física matemática
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We consider the 1 - d wave equation epsilon u(tt) - u(tt) + u(t) = 0 With Dirichlet boundary conditions in a bounded interval. It is well known that for any epsilon > 0 this system is exactly controllable, with controls distributed on some open subinterval. It is also well known that the heat equation u(t) - u(xx) = 0 is null controllable. In this Note we prove that the null controls for the dissipative wave equations can be built so that they converge to a null control for the heat equation as epsilon --> 0. This shows the continuity of the null controls with respect to the singular perturbation under consideration
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En línea:
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https://eprints.ucm.es/id/eprint/21517/1/LopezMontes04elsevier.pdf
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