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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations -
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- Publisher
- Springer Journals
- Copyright
- Copyright © Springer Science+Business Media, LLC, part of Springer Nature 2020
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/s00245-019-09651-5
- Publisher site
- See Article on Publisher Site
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.
Journal
Applied Mathematics and Optimization – Springer Journals
Published: Jan 9, 2020
Keywords: Degenerate equations; Interior degeneracy in a positive measure set; Carleman estimates; Observability inequalities; 35K65; 93B07