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On bilinear controllability of the parabolic equation with the reaction-diffusion term satisfying Newton’s law. (English) Zbl 1119.93017

Summary: We discuss both approximate and exact null-controllability of the diffusion-reaction equation governed via a coefficient in the reaction term, modeled according to Newton’s law. Both linear and semilinear versions of this term are considered.

MSC:

93B05 Controllability
93C20 Control/observation systems governed by partial differential equations
35K15 Initial value problems for second-order parabolic equations
35K20 Initial-boundary value problems for second-order parabolic equations
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