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 |