Basics of Carleman Estimates

  • Mourad Bellassoued
  • Masahiro Yamamoto
Part of the Springer Monographs in Mathematics book series (SMM)


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.

Copyright information

© Springer Japan KK 2017

Authors and Affiliations

  1. 1.Department of MathematicsENIT—LAMSIN, University of Tunis El ManarTunisTunisia
  2. 2.Department of Mathematical SciencesThe University of TokyoTokyoJapan
  3. 3.Research Center of Nonlinear Problems of Mathematical PhysicsPeoples’ Friendship University of RussiaMoscowRussia

Personalised recommendations