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. For more information see https://ejde.math.txstate.edu/Volumes/2020/59/abstr.html
Nonnegative controllability for a class of nonlinear degenerate parabolic equations with application to climate science
Published 2020 in Electronic Journal of Differential Equations
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- Publication year
2020
- Venue
Electronic Journal of Differential Equations
- Publication date
2020-03-10
- Fields of study
Mathematics, Environmental Science
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