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

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dc.contributor.authorNgomaitala, Hussein Rajabu
dc.date.accessioned2019-08-18T09:34:34Z
dc.date.available2019-08-18T09:34:34Z
dc.date.issued2015
dc.descriptionDissertation (MSc Mathematics)en_US
dc.description.abstractA 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.en_US
dc.identifier.citationNgomaitala, H. R. (2015). Carleman estimates to solutions of direct and inverse problems for hyperbolic equations. Dodoma: The University of Dodomaen_US
dc.identifier.urihttp://hdl.handle.net/20.500.12661/770
dc.language.isoenen_US
dc.publisherThe University of Dodomaen_US
dc.subjectHyperbolic equationsen_US
dc.subjectCarleman estimatesen_US
dc.subjectNumerical solutionsen_US
dc.subjectEquationsen_US
dc.subjectHyperbolic equation direct problemsen_US
dc.subjectHyperbolic equation inverse problemsen_US
dc.titleCarleman estimates to solutions of direct and inverse problems for hyperbolic equationsen_US
dc.typeDissertationen_US
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