Conditionally stable unique continuation and applications to thermoacoustic tomography

Plamen Stefanov

doi:10.3934/mine.2019.4.789

Mathematics in Engineering, 2019, 1(4): 789-799. doi: 10.3934/mine.2019.4.789. Research article Special Issues

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Conditionally stable unique continuation and applications to thermoacoustic tomography

Plamen Stefanov

Department of Mathematics, Purdue University, West Lafayette, IN 47907

^† This contribution is part of the Special Issue: Inverse problems in imaging and engineering science
Guest Editors: Lauri Oksanen; Mikko Salo
Link: https://www.aimspress.com/newsinfo/1270.html

Received: , Accepted: , Published:

Special Issues: Inverse problems in imaging and engineering science

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We prove a conditional Hölder stability estimate for the Cauchy problem on the lateral boundary for the wave equation under a strictly convex foliation condition. We apply this estimate for the problem in multiwave tomography with partial data.

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Keywords: unique continuation; stability; thermoacoustic tomography

Citation: Plamen Stefanov. Conditionally stable unique continuation and applications to thermoacoustic tomography. Mathematics in Engineering, 2019, 1(4): 789-799. doi: 10.3934/mine.2019.4.789

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