Document Zbl 1070.93025

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Local exact controllability of the diffusion equation in one dimension. (English) Zbl 1070.93025

Abstr. Appl. Anal. 2003, No. 14, 793-811 (2003).

Using the Barbu scheme, the author establishes the local exact null controllability of the diffusion equation in one dimension using distributed controls in the case of the Dirichlet boundary value problem.

Reviewer: Hussain A. El-Saify (Beni Suef)

Cited in 12 Documents

MSC:

93C20	Control/observation systems governed by partial differential equations
93B05	Controllability
93B18	Linearizations
35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations

Keywords:

controllability; linearizations; diffusion equation; nonlinear boundary value problem; distributed controls

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