We consider a nonlinear degenerate reaction-di↵usion equation. First we prove that if the initial state is nonnegative, then the solution re- mains nonnegative for all time. Then we prove the approximate controllability between nonnegative states via multiplicative controls, this is done using the reaction coecient as control.
Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science / Floridia, G.. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2020:(2020), pp. 1-27.
Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science
Floridia G.
2020
Abstract
We consider a nonlinear degenerate reaction-di↵usion equation. First we prove that if the initial state is nonnegative, then the solution re- mains nonnegative for all time. Then we prove the approximate controllability between nonnegative states via multiplicative controls, this is done using the reaction coecient as control.File allegati a questo prodotto
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