Basics of Carleman Estimates

In this monograph, we discuss the derivation of Carleman estimates and their application to inverse problems of determining spatially varying coefficients or source terms. The inverse problem is to determine unknown quantities in governing equations from available data of solutions. The unknown quantities are diverse, according to the inverse problems and phenomena studied, but typical unknowns are spatially varying coefficients and factors of source terms. © 2017, Springer Science and Business Media Deutschland GmbH. All rights reserved.