Conditionally stable unique continuation and applications to thermoacoustic tomography

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.

Bibliographic Details
Main Author: Plamen Stefanov
Format: Article
Language:English
Published: AIMS Press 2019-01-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2019.4.789/fulltext.html