Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms
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Date
2018-12-06
Authors
Xu, Jianing
Wang, Chunpeng
Nie, Yuanyuan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Carleman estimate, Null controllability, Convection, Degenerate parabolic system
Citation
Xu, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.