Open AccessExact Observability of a 1-Dimensional Wave Equation on a Noncylindrical Domain
Author(s) -
Bernhard H. Haak,
Duc-Trung Hoang
Publication year - 2019
Publication title -
siam journal on control and optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.486
H-Index - 116
eISSN - 1095-7138
pISSN - 0363-0129
DOI - 10.1137/17m112960x
Subject(s) - observability , mathematics , domain (mathematical analysis) , boundary (topology) , mathematical analysis , wave equation , boundary value problem , point (geometry) , geometry
We discuss admissibility and exact observability estimates of boundary observation and interior point observation of a one-dimensional wave equation on a time dependent domain for sufficiently regular boundary functions. We also discuss moving observers inside the non-cylindrical domain and simultaneous observability results.
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