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Controllability results of linear parabolic integrodifferential equations. (English) Zbl 1224.93013

Summary: In this paper we analyze the controllability properties of a linear parabolic integro-differential equation with homogeneous Dirichlet boundary conditions. Our method relies on the derivation of a Carleman estimate for the adjoint equation. As a consequence, we obtain the approximate and null controllability properties for the integro-differential equation.

MSC:

93B05 Controllability
93C20 Control/observation systems governed by partial differential equations
45K05 Integro-partial differential equations
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