Convergence of the Boundary Control for the Wave Equation in Domains with Holes of Critical Size

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dc.contributor.authorNandakumaran, A. K.
dc.date.accessioned2020-08-05T18:15:57Z
dc.date.available2020-08-05T18:15:57Z
dc.date.issued2002-04-23
dc.description.abstractIn this paper, we consider the homogenization of the exact controllability problem for the wave equation in periodically perforated domain with holes of critical size. We show that the boundary control converges to the boundary control of the homogenized system under the assumption that the perforations are uniformly away from the boundary.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNandakumaran, A. K. (2002). Convergence of the boundary control for the wave equation in domains with holes of critical size. <i>Electronic Journal of Differential Equations, 2002</i>(35), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12309
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectPerforated domain
dc.subjectExact controllability
dc.subjectHilbert uniqueness method
dc.subjectHomogenization
dc.titleConvergence of the Boundary Control for the Wave Equation in Domains with Holes of Critical Sizeen_US
dc.typeArticle

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