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dc.contributor.authorEl Akri, Abdeladim ( )
dc.contributor.authorManiar, Lahcen ( Orcid Icon 0000-0001-7557-2028 )
dc.date.accessioned2022-02-14T21:46:24Z
dc.date.available2022-02-14T21:46:24Z
dc.date.issued2018-06-27
dc.identifier.citationEl Akri, A., & Maniar, L. (2018). Indirect boundary observability of semi-discrete coupled wave equations. Electronic Journal of Differential Equations, 2018(133), pp. 1-27.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15333
dc.description.abstractThis work concerns the indirect observability properties for the finite-difference space semi-discretization of the 1-d coupled wave equations with homogeneous Dirichlet boundary conditions. We assume that only one of the two components of the unknown is observed. As for a single wave equation, as well as for the direct (complete) observability of the coupled wave equations, we prove the lack of the numerical observability. However, we show that a uniform observability holds in the subspace of solutions in which the initial conditions of the observed component is generated by the low frequencies. Our main proofs use a two-level energy method at the discrete level and a Fourier decomposition of the solutions.en_US
dc.formatText
dc.format.extent27 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCoupled wave equationsen_US
dc.subjectIndirect boundary observabilityen_US
dc.subjectSpace semi-discretizationen_US
dc.subjectFinite differencesen_US
dc.subjectFiltered spacesen_US
dc.titleIndirect boundary observability of semi-discrete coupled wave equationsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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