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Approximate controllability of a parabolic equation with memory. (English) Zbl 1238.93018
Summary: We study the approximate controllability of a parabolic equation with memory y t +y xx + 0 t y(x,s)ds=0 by boundary control. The proof relies on the explicit solution of the corresponding homogeneous initial boundary value problem and a duality method.
MSC:
93B05Controllability
93C20Control systems governed by PDE
35R09Integro-partial differential equations
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