Memory boundary feedback stabilization for Schrödinger equations with variable coefficients

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dc.contributor.authorNawel, Abdesselam
dc.contributor.authorMelkemi, Khaled
dc.date.accessioned2022-05-02T16:48:04Z
dc.date.available2022-05-02T16:48:04Z
dc.date.issued2017-05-11
dc.description.abstractFirst we consider the boundary stabilization of Schrödinger equations with constant coefficient memory feedback. This is done by using Riemannian geometry methods and the multipliers technique. Then we explore the stabilization limits of Schrödinger equations whose elliptical part has a variable coefficient. We established the exponential decay of solutions using the multipliers techniques. The introduction of dissipative boundary conditions of memory type allowed us to obtain an accurate estimate on the uniform rate of decay of the energy for Schrödinger equations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNawel, A., & Melkemi, K. (2017). Memory boundary feedback stabilization for Schrödinger equations with variable coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(129), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15731
dc.language.isoen
dc.publisherTexas 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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger equation
dc.subjectExponential stabilization
dc.subjectBoundary condition of memory type
dc.subjectRiemannian geometry
dc.titleMemory boundary feedback stabilization for Schrödinger equations with variable coefficients
dc.typeArticle

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