|
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, Università Mediterranea di Reggio Calabria, Reggio Calabria, Italy floridia.giuseppe@icloud.com 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. [ Fulltext-pdf (121 KB)] for subscribers only. |