Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science
Date
2020-06-15
Authors
Floridia, Giuseppe
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a nonlinear degenerate reaction-diffusion equation. First we prove that if the initial state is nonnegative, then the solution remains nonnegative for all time. Then we prove the approximate controllability between nonnegative states via multiplicative controls, this is done using the reaction coefficient as control.
Description
Keywords
Semilinear degenerate reaction-diffusion equations, Energy balance models in climate science, Approximate controllability, Multiplicative controls, Nonnegative states
Citation
Floridia, G. (2020). Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science. <i>Electronic Journal of Differential Equations, 2020</i>(59), pp. 1-27.
Rights
Attribution 4.0 International