Document Zbl 1078.93009

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Singular optimal control: a linear 1D parabolic-hyperbolic example. (English) Zbl 1078.93009

Asymptotic Anal. 44, No. 3-4, 237-257 (2005).

The authors consider null controllability of a family of 1D linear control parabolic equations depending on viscosity and the coefficient of the transport term.
They study the dependence of the norm of optimal controls, with respect to viscosity, the coefficient of the transport term and time of controllability. Estimates on the optimal control as the viscosity tends to zero is given.

Reviewer: Gheorghe Aniculăesei (Iaşi)

Cited in 2 Reviews

Cited in 54 Documents

MSC:

93B05	Controllability
35B37	PDE in connection with control problems (MSC2000)
49N35	Optimal feedback synthesis

Keywords:

null controllability; time of controllability

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