We give some fundamental definitions and some Hardy-type inequalities with boundary or interior degeneracy. We also show the equivalence between null controllability and observability inequality.
Fragnelli, G., Mugnai, D. (2021). Mathematical Tools and Preliminary Results. In Control of Degenerate and Singular Parabolic Equations Carleman Estimates and Observability (pp. 1-26). Cham : Springer [10.1007/978-3-030-69349-7_1].
Mathematical Tools and Preliminary Results
Fragnelli, Genni
;
2021-01-01
Abstract
We give some fundamental definitions and some Hardy-type inequalities with boundary or interior degeneracy. We also show the equivalence between null controllability and observability inequality.
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https://hdl.handle.net/11365/1277181