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• #### Hardy inequalities, observability, and control for the wave and schrödinger equations with singular potentials ﻿

(SIAM Journal on Mathematical Analysis, 2009-12-31)
We address the question of exact controllability of the wave and Schrodinger equa\-tions perturbed by a singular inverse-square potential. Exact boundary controllability is proved in the range of subcritical coefficients ...
• #### Hardy type inequalities for $\Delta_{\lambda}$-Laplacians ﻿

(Complex Variables and Elliptic Equations, 2016-01-01)
We derive Hardy-type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_{\lambda}$-Laplacians and find explicit values for the constants involved. Our results generalize previous ...