Open AccessConditionally stable unique continuation and applications to thermoacoustic tomography
Author(s) -
Plamen Stefanov
Publication year - 2019
Publication title -
mathematics in engineering
Language(s) - English
Resource type - Journals
ISSN - 2640-3501
DOI - 10.3934/mine.2019.4.789
Subject(s) - continuation , tomography , regular polygon , boundary (topology) , stability (learning theory) , mathematics , boundary value problem , cauchy problem , mathematical analysis , wave equation , initial value problem , computer science , geometry , medicine , radiology , machine learning , programming language
We prove a conditional Holder 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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