Stability for inverse source problems by Carleman estimates of determining spatially varying functions in evolution equations by 
Carleman estimates. Our method does
 Carleman Estimates for Some Thermoelasticity SystemsIn this chapter, we establish 
Carleman estimates for a thermoelastic plate system and a
 CARLEMAN ESTIMATE FOR LINEAR VISCOELASTICITY EQUATIONS AND AN INVERSE SOURCE PROBLEM. First we prove a 
Carleman estimate with boundary values of solutions of the viscoelasticity system
 Carleman estimates for the time-fractional advection-diffusion equations and applicationsIn this article, we prove 
Carleman estimates for the generalized time-fractional advection
 Carleman estimates and applications to inverse problems for hyperbolic systemsCarleman estimates and applications to inverse problems for hyperbolic systems
 Carleman estimate for the Schrödinger equation and application to magnetic inverse problems–Klibanov method, based on an appropriate 
Carleman estimate. Since the time symmetrization of the static magnetic
 Basics of Carleman EstimatesIn this monograph, we discuss the derivation of 
Carleman estimates and their application to inverse