Stabilization of Heteregeneous Maxwell's Equations by Linear or Nonlinear Boundary Feedbacks

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dc.contributor.authorEller, Matthias
dc.contributor.authorLagnese, John E.
dc.contributor.authorNicaise, Serge
dc.date.accessioned2020-07-15T16:42:51Z
dc.date.available2020-07-15T16:42:51Z
dc.date.issued2002-02-21
dc.description.abstractWe examine the question of stabilization of the (nonstationary) heteregeneous Maxwell's equations in a bounded region with a Lipschitz boundary by means of linear or nonlinear Silver-Muller boundary condition. This requires the validity of some stability estimate in the linear case that may be checked in some particular situations. As a consequence we get an explicit decay rate of the energy, for instance exponential, polynomial or logarithmic decays are available for appropriate feedbacks. Based on the linear stability estimate, we further obtain certain exact controllability results for the Maxwell system.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEller, M., Lagnese, J. E., & Nicaise, S. (2002). Stabilization of heteregeneous Maxwell's equations by linear or nonlinear boundary feedbacks. <i>Electronic Journal of Differential Equations, 2002</i>(21), pp. 1-26.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12085
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.subjectMaxwell's system
dc.subjectControllability
dc.subjectStability
dc.subjectNonlinear feedbacks
dc.titleStabilization of Heteregeneous Maxwell's Equations by Linear or Nonlinear Boundary Feedbacksen_US
dc.typeArticle

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