Null controllability of degenerate parabolic equations in non divergence form via Carleman estimates. (English) Zbl 1258.93025
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.
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 |
