A quantitative Carleman estimate for second-order elliptic operators
A quantitative Carleman estimate for second-order elliptic operators
Abstract We prove a Carleman estimate for elliptic second-order partial differential expressions with Lipschitz continuous coefficients. The Carleman estimate is valid for any complex-valued function u ∈ W 2,2 with support in a punctured ball of arbitrary radius. The novelty of this Carleman estimate is that we establish an explicit …