Null controllability of a coupled system of degenerate parabolic equations with lower order terms

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dc.contributor.authorXu, Jianing
dc.contributor.authorZhou, Qian
dc.contributor.authorNie, Yuanyuan
dc.date.accessioned2021-12-03T16:27:53Z
dc.date.available2021-12-03T16:27:53Z
dc.date.issued2019-09-06
dc.description.abstractThis article concerns the null controllability of a control system governed by coupled degenerate parabolic equations with lower order terms. For these equations, the convection terms cannot be controlled by the diffusion terms. We establish a Carleman estimate and an observability inequality by using Carleman estimates for single degenerate parabolic equations with lower order term and some energy estimates. Then we prove that the system with two controls is null controllable. Finally, we show the null controllability of the system with one control, by constructing suitable controls.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationXu, J., Zhou, Q., & Nie, Y. (2019). Null controllability of a coupled system of degenerate parabolic equations with lower order terms. <i>Electronic Journal of Differential Equations, 2019</i>(103), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14995
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, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCarleman estimate
dc.subjectNull controllability
dc.subjectCoupled degenerate equations
dc.subjectConvection terms
dc.titleNull controllability of a coupled system of degenerate parabolic equations with lower order terms
dc.typeArticle

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