Abstract

ABSTRACT In this paper, we consider a transmission wave problem with Kelvin–Voigt damping in two embedded domains in . We construct a global Carleman estimate for the transmission strongly damped wave equation with discontinuous coefficients. With the new Carleman estimate, we prove the Lipschitz stability and uniqueness of the inverse problem of determining the coefficient of the zeroth-order term in the equation with a single measurement observed in any small domain located in the outer domain.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.