Finite extinction time property for a delayed linear problem on a manifold without boundary

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2011, 2011(Special): 265-271. doi: 10.3934/proc.2011.2011.265

Finite extinction time property for a delayed linear problem on a manifold without boundary

Alfonso C. Casal ^1, , Jesús Ildefonso Díaz ^2, and José M. Vegas ^2,

1.	Departamento de Matemática Aplicada, E.T.S. Arquitectura. Universidad Politécnica de Madrid, Av. Juan de Herrera 4, Madrid 28040, Spain
2.	Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza de las Ciencias 3, Madrid 28040, Spain, Spain

Received July 2010 Revised April 2011 Published October 2011

Abstract
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We prove that the mere presence of a delayed term is able to connect the initial state u0 on a manifold without boundary

Keywords: Finite extinction time, dynamic boundary conditions, delayed feedback control, linear parabolic equations.

Mathematics Subject Classification: 35R10, 35R35, 35K20.

Citation: Alfonso C. Casal, Jesús Ildefonso Díaz, José M. Vegas. Finite extinction time property for a delayed linear problem on a manifold without boundary. Conference Publications, 2011, 2011 (Special) : 265-271. doi: 10.3934/proc.2011.2011.265

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