Carleman estimates with a second large parameter

[摘要] Carleman 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 Equations 20, 855-884) and V. Isakov (1998, On the uniqueness of continuation for a thermoelasticity system, preprint). (C) 2000 Academic Press.

[发布日期] 2000-09-15