Null controllability of coupled systems of degenerate parabolic integro-differential equations

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dc.contributor.authorAllal, Brahim
dc.contributor.authorFragnelli, Genni
dc.contributor.authorSalhi, Jawad
dc.date.accessioned2023-05-23T17:32:30Z
dc.date.available2023-05-23T17:32:30Z
dc.date.issued2023-02-22
dc.description.abstractThis article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally distributed control force. Since the memory terms do not allow applying the standards Carleman estimates directly, we start by proving a null controllability result for an associated nonhomogeneous degenerate coupled system employing new Carleman estimates with appropriate weight functions. As a consequence, we deduce the null controllability result for the initial memory system by using the Kakutani's fixed point Theorem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAllal, B., Fragnelli, G., & Salhi, J. (2023). Null controllability of coupled systems of degenerate parabolic integro-differential equations. <i>Electronic Journal of Differential Equations, 2023</i>(18), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16853
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCarleman estimates
dc.subjectParabolic systems involving memory terms
dc.subjectObservability inequality
dc.subjectNull controllability
dc.titleNull controllability of coupled systems of degenerate parabolic integro-differential equations
dc.typeArticle

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