The cost of controlling degenerate parabolic equations by boundary controls

Piermarco Cannarsa, Patrick Martinez, Judith Vancostenoble

We consider the one-dimensional degenerate parabolic equation $$u_t-(x^{\alpha }{u}_x{)}_x=0x\in (0,1),t\in (0,T),$$ controlled by a boundary force acting at the degeneracy poin…