Fragnelli, Genni Null controllability of degenerate parabolic equations in non divergence form via Carleman estimates. (English) Zbl 1258.93025 Discrete Contin. Dyn. Syst., Ser. S 6, No. 3, 687-701 (2013). Summary: We prove null controllability results for the one dimensional degenerate heat equation in non divergence form with a drift term and Neumann boundary conditions. To this aim, we prove Carleman estimates for the associated adjoint problem. Some linear extensions are considered. Cited in 13 Documents MSC: 93B05 Controllability 93B07 Observability 93C20 Control/observation systems governed by partial differential equations 35K65 Degenerate parabolic equations 35K20 Initial-boundary value problems for second-order parabolic equations 35Q93 PDEs in connection with control and optimization Keywords:degenerate parabolic equations; null controllability; observability; Carleman estimates; Hardy-type inequality PDFBibTeX XMLCite \textit{G. Fragnelli}, Discrete Contin. Dyn. Syst., Ser. S 6, No. 3, 687--701 (2013; Zbl 1258.93025) Full Text: DOI