Carleman estimate for telegrapher's equations on a network and application to an inverse problem (2306.06666v1)

Published 11 Jun 2023 in math.AP

Abstract: The main purpose of this work is to study an inverse coefficient problem for the telegrapher's equations on a tree-shaped network. To analyze the stability for this inverse problem, Carleman estimate is established first. Based upon this estimate, a Lipschitz stability is further derived with additional data given on partial boundary.

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