Carleman Estimates with a Second Large Parameter

AbstractCarleman estimates are an indispensable tool for proving uniqueness of continuation for solutions to partial differential equations with non-analytic coefficients. We prove a new Carleman estimate with two large parameters for operators with time independent coefficients which combines features of estimates given by D. Tataru (1995, Comm. Partial Differential Equations20, 855–884) and V. Isakov (1998, On the uniqueness of continuation for a thermoelasticity system, preprint)