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Minimax Theory and its Applications 06 (2021), No. 2, 341--352
Copyright Heldermann Verlag 2021

Nonnegative Multiplicative Controllability for Semilinear Multidimensional Reaction-Diffusion Equations

Giuseppe Floridia
Dipartimento Patrimonio, Architettura, Urbanistica, UniversitÓ Mediterranea di Reggio Calabria, Reggio Calabria, Italy

We consider a multidimensional semilinear reaction-diffusion equation and we obtain at any arbitrary time an approximate controllability result between nonnegative states using as control term the reaction coefficient, that is, via multiplicative controls.

Keywords: Multidimensional semilinear reaction-diffusion equations, approximate controllability, multiplicative controls, nonnegative states.

MSC: 93C20, 35K57, 35K58, 35K10.

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