Nonnegative controllability for a class of nonlinear degenerate\n parabolic equations with application to climate science

2020/03/10 by Giuseppe Floridia, Floridia, Giuseppe · 1 citation
Computer Science · Engineering · Mathematics · #35K10 #35K57 #35K58 #35K65 #93C20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2003.04966

openalex publication_date 2020/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let us consider a nonlinear degenerate reaction-diffusion equation with\napplication to climate science. After proving that the solution remains\nnonnegative at any time, when the initial state is nonnegative, we prove the\napproximate controllability between nonnegative states at any time via\nmultiplicative controls, that is, using as control the reaction coefficient.\n

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