Wang, Chunpeng; Du, Runmei Carleman estimates and null controllability for a class of degenerate parabolic equations with convection terms. (English) Zbl 1295.93018 SIAM J. Control Optim. 52, No. 3, 1457-1480 (2014). Summary: This paper concerns a class of control systems governed by semilinear degenerate parabolic equations with convection terms, which cannot be controlled by the diffusion terms. The Carleman estimates and the observability inequalities for the corresponding linear equations are established if the degeneracy is relatively weak. Subsequently, it is proved that the control systems are null controllable. Cited in 23 Documents MSC: 93B05 Controllability 93C20 Control/observation systems governed by partial differential equations 35K65 Degenerate parabolic equations Keywords:Carleman estimate; null controllability; degeneracy; convection PDFBibTeX XMLCite \textit{C. Wang} and \textit{R. Du}, SIAM J. Control Optim. 52, No. 3, 1457--1480 (2014; Zbl 1295.93018) Full Text: DOI