Carleman estimates and observability inequalities for a class of problems ruled by parabolic equations with interior degenaracy
type: Item
instance of: scholarly article
title: Carleman estimates and observability inequalities for a class of problems ruled by parabolic equations with interior degenaracy
zbMATH Open document ID: 1471.35184
author: Josiane C. O. Faria
published in: Applied Mathematics and Optimization
publication date: 2021-08-11T00:00:00Z
review text: In this article the author has studied a class of parabolic problems with interior degeneracy in a set of positive measure and proved the existence and uniqueness of solutions for the equations by using nonlinear semigroup approach. Further Carleman estimates for such problems are established. Observability inequalities are obtained as a consequence of these estimates.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 7381010
zbMATH Keywords: degenerate equations
zbMATH Keywords: interior degeneracy in a positive measure set
zbMATH Keywords: Carleman estimates
zbMATH Keywords: observability inequalities
reviewed by: Krishnan Balachandran
MaRDI profile type: Publication
full work available at URL: s00245-019-09651-5
OpenAlex ID: W2999433564
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Wikidata QID: Q126384196
DOI: 10.1007/S00245-019-09651-5
description: scientific article; zbMATH DE number 7381010