Carleman estimates and unique continuation property for abstract elliptic equations
Department of Electronics Engineering and Communication, Okan University, Akfirat Beldesi, Tuzla, 34959, Istanbul, Turkey
Boundary Value Problems 2012, 2012:46 doi:10.1186/1687-2770-2012-46Published: 23 April 2012
The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued Lp-space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for the equations are employed to obtain these results. In applications the unique continuation theorems for quasielliptic partial differential equations and finite or infinite systems of elliptic equations are studied.
AMS: 34G10; 35B45; 35B60.