Abstract
This article proposes to study a class of parabolic problems with interior degeneracy in a set of positive measure in order to establish well-posedness and obtain Carleman estimates for such problems. Observability inequalities are obtained as a consequence of these estimates.
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Faria, J.C.O. Carleman Estimates and Observability Inequalities for a Class of Problems Ruled by Parabolic Equations with Interior Degenaracy. Appl Math Optim 84, 463–486 (2021). https://doi.org/10.1007/s00245-019-09651-5
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DOI: https://doi.org/10.1007/s00245-019-09651-5
Keywords
- Degenerate equations
- Interior degeneracy in a positive measure set
- Carleman estimates
- Observability inequalities