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Global non-negative controllability of the semilinear parabolic equation governed by bilinear control

Global non-negative controllability of the semilinear parabolic equation governed by bilinear control

We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain via the coefficient (bilinear control) 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 …