Carleman estimates to solutions of direct and inverse problems for hyperbolic equations

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dc.creatorNgomaitala, Hussein Rajabu
dc.date2019-08-18T09:34:34Z
dc.date2019-08-18T09:34:34Z
dc.date2015
dc.date.accessioned2021-05-06T12:58:59Z
dc.date.available2021-05-06T12:58:59Z
dc.descriptionDissertation (MSc Mathematics)
dc.descriptionA 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 different directions and measured at different places.
dc.identifierNgomaitala, H. R. (2015). Carleman estimates to solutions of direct and inverse problems for hyperbolic equations. Dodoma: The University of Dodoma
dc.identifierhttp://hdl.handle.net/20.500.12661/770
dc.identifier.urihttp://hdl.handle.net/20.500.12661/770
dc.languageen
dc.publisherThe University of Dodoma
dc.subjectHyperbolic equations
dc.subjectCarleman estimates
dc.subjectNumerical solutions
dc.subjectEquations
dc.subjectHyperbolic equation direct problems
dc.subjectHyperbolic equation inverse problems
dc.titleCarleman estimates to solutions of direct and inverse problems for hyperbolic equations
dc.typeDissertation

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