Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science
Giuseppe Floridia · IRIS Research product catalog (Sapienza University of Rome) · 2020
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.