Calculus of Variations and Geometric Measure Theory

G. Floridia

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

created by floridia on 27 Jun 2020



Inserted: 27 jun 2020

Year: 2020

ArXiv: 2003.04966v2 PDF


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