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Conditionally stable unique continuation and applications to thermoacoustic tomography

Plamen Stefanov

*Corresponding author: Plamen Stefanov stefanov@math.purdue.edu

MinE2019,4,789doi:10.3934/mine.2019.4.789

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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