Global non-negative controllability of the semilinear parabolic equation governed by bilinear control
Alexander Y. Khapalov (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain the coefficient () in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability by traditional...