Null controllability of parabolic equations with interior degeneracy and one-sided control

Piermarco Cannarsa, Roberto Ferretti, Patrick Martinez

For $\alpha \in (0,2)$ we study the null controllability of the parabolic operator $$Pu=u_t-(|x{|}^{\alpha }{u}_x{)}_x(1<x<1),$$ which degenerates at the interior point $x=0$, for…