Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form
type: Item
instance of: scholarly article
title: Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form
zbMATH Open document ID: 1176.35108
author: Piermarco Cannarsa
author: Genni Fragnelli
author: Dario Rocchetti
published in: Journal of Evolution Equations
publication date: 2009-06-08T00:00:00Z
full work available at URL: http://hdl.handle.net/2108/102797
review text: The paper presents null controllability results for some degenerate parabolic equations in non divergence form on a bounded interval. The structure of the paper is as follows. First, the authors prove the well-posedness of the linear system, then for the adjoint problems they obtain Carleman estimates. After that, for the same adjoint system they prove the observability, and as a consequence they give the null controllability result for the considered linear system. In the final part, the authors extend previous results to a semilinear system.
reviewed by: Vyacheslav I. Maksimov
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 5562653
zbMATH Keywords: linear problems
zbMATH Keywords: semilinear problems
zbMATH Keywords: adjoint problems
zbMATH Keywords: Carleman estimates
Wikidata QID: Q59421059
MaRDI profile type: Publication
OpenAlex ID: W2105968961
DOI: 10.1007/S00028-008-0353-34
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description: scientific article; zbMATH DE number 5562653