Analysis Seminar: *: Multiplicative controllability for the reaction-diffusion equation with target states admitting finitely many changes of sign.
4:10 pm, Neill 5W
We study the global approximate controllability properties of the one dimensional reaction-diffusion equation governed via the coefficient in the reaction term. The traditional("linear") controllability methods based on the duality pairing do not apply to this nonlinear problem. Instead, we focus on the qualitative study of the diffusion and reaction parts of the evolution process at hand. We consider the case when both the initial and target states admit no more than finitely many changes of sign.