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Electronic Journal of Differential Equations
Article . 2014
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zbMATH Open
Article . 2014
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Lipschitz stability for linear parabolic systems with interior degeneracy

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 Italy Publisher:Southwest Texas State University, Department of Mathematics, San Marcos, TX; North Texas State University, Department of Mathematics, Denton, TXJournal:Electronic Journal of Differential Equations (issn: 1072-6691, Copyright policy )
Authors: Boutaayamou Idriss; Maniar Lahcen; FRAGNELLI, Genni;

handle: 11586/93329

Lipschitz stability for linear parabolic systems with interior degeneracy

Abstract

Summary: In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the space domain, which contains degeneracy points. The key ingredient is the derivation of a Carleman-type estimate.

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Italy
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Keywords

linear degenerate parabolic system, Inverse problems for PDEs, Parabolic system, QA1-939, inverse problem, Degenerate parabolic equations, Carleman estimates, Lipschitz stability, Mathematics, interior degeneracy

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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