Xu, JianingWang, ChunpengNie, Yuanyuan2022-03-102022-03-102018-12-06Xu, 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. 1-20.1072-6691https://hdl.handle.net/10877/15491This 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.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalCarleman estimateNull controllabilityConvectionDegenerate parabolic systemArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.