Global Null Controllability of the One-Dimensional Nonlinear Slow Diffusion Equation

Dedicated to Jacques-Louis Lions with the souvenir of his mastery and creativity We prove the global null controllability for the one-dimensional non-linear slow diffusion equation by using both a boundary and an internal control. We assume that the internal control is only time dependent. The proof relies on the “return method ” in a combination of some local con-trollability results for non-degenerate equations and rescaling techniques