Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms

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dc.contributor.authorXu, Jianing
dc.contributor.authorWang, Chunpeng
dc.contributor.authorNie, Yuanyuan
dc.date.accessioned2022-03-10T21:13:00Z
dc.date.available2022-03-10T21:13:00Z
dc.date.issued2018-12-06
dc.description.abstractThis article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms. The semilinear parabolic equations are weakly degenerate on the boundary and the convection terms cannot be controlled by the diffusion terms. We establish the Carleman estimate and the observability inequality for the linear conjugate system, and prove that the control system is null controllable.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationXu, J., Wang, C., & Nie, Y. (2018). Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms. <i>Electronic Journal of Differential Equations, 2018</i>(195), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15491
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCarleman estimate
dc.subjectNull controllability
dc.subjectConvection
dc.subjectDegenerate parabolic system
dc.titleCarleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms
dc.typeArticle

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