ABSTRACT
A number of phenomena in modern science can be conveniently described in terms
of problem for hyperbolic equation with Carleman estimates to the solution of
inverse problem.
The purpose of this study is to give a survey of the solution of the inverse
problems for hyperbolic equation by Carleman estimates. We extend the results
and prove the Carleman estimate focusing on an inverse problem for a simple
hyperbolic equation. Also we derive the Lipschitz's stability by energy estimate;
we obtain tomographic images by sent x-ray in dierent directions and measured
at different places.
Ngomaitala, H (2021). Carleman Estimates To Solutions Of Direct And Inverse Problems For Hyperbolic Equations. Afribary. Retrieved from https://afribary.com/works/carleman-estimates-to-solutions-of-direct-and-inverse-problems-for-hyperbolic-equations
Ngomaitala, Hussein "Carleman Estimates To Solutions Of Direct And Inverse Problems For Hyperbolic Equations" Afribary. Afribary, 25 Apr. 2021, https://afribary.com/works/carleman-estimates-to-solutions-of-direct-and-inverse-problems-for-hyperbolic-equations. Accessed 06 May. 2024.
Ngomaitala, Hussein . "Carleman Estimates To Solutions Of Direct And Inverse Problems For Hyperbolic Equations". Afribary, Afribary, 25 Apr. 2021. Web. 06 May. 2024. < https://afribary.com/works/carleman-estimates-to-solutions-of-direct-and-inverse-problems-for-hyperbolic-equations >.
Ngomaitala, Hussein . "Carleman Estimates To Solutions Of Direct And Inverse Problems For Hyperbolic Equations" Afribary (2021). Accessed May 06, 2024. https://afribary.com/works/carleman-estimates-to-solutions-of-direct-and-inverse-problems-for-hyperbolic-equations