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

Lavanya, R.; Balachandran, K.

Differ. Integral Equ. 21, No. 9-10, 801-819 (2008).

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

Keywords:

controllability; parabolic integro-differential equation; Carleman estimate