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Título:
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Finite extinction and null controllability via delayed feedback non-local actions
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Casal, A.C. ;
Vegas Montaner, José Manuel
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Tipo de documento:
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texto impreso
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Editorial:
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Pergamon-Elsevier Science, 2009-12-15
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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: Matemáticas: Análisis numérico
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Tipo = Artículo
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Resumen:
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We give sufficient conditions to have the finite extinction for all solutions of linear parabolic reaction-diffusion equations of the type partial derivative u/partial derivative t - Lambda u = -M(t)u(t - tau, x) (1) with a delay term tau > 0, on Omega, an open set of R(N), M(t) is a bounded linear map on L(p)(Omega), u(t, x) satisfies a homogeneous Neumann or Dirichlet boundary condition. We apply this result to obtain distributed null controllability of the linear heat equation u(t) - Delta u = upsilon(t, x) by means of the delayed feedback term upsilon(t, x) = -M(t)u(t - tau, x).
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En línea:
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https://eprints.ucm.es/id/eprint/15071/1/11.pdf
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