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Advances in Nonlinear Analysis

Editor-in-Chief: Radulescu, Vicentiu / Squassina, Marco


IMPACT FACTOR 2018: 6.636

CiteScore 2018: 5.03

SCImago Journal Rank (SJR) 2018: 3.215
Source Normalized Impact per Paper (SNIP) 2018: 3.225

Mathematical Citation Quotient (MCQ) 2017: 1.89

Open Access
Online
ISSN
2191-950X
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Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

Genni Fragnelli / Dimitri Mugnai
Published Online: 2013-08-30 | DOI: https://doi.org/10.1515/anona-2013-0015

Abstract.

We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem. The novelty of interior degeneracy does not let us adapt previous Carleman estimates to our situation. As an application, observability inequalities are established.

Keywords: Degenerate equation; interior degeneracy; Carleman estimates; observability inequalities

About the article

Received: 2013-07-09

Revised: 2013-08-02

Accepted: 2013-08-04

Published Online: 2013-08-30

Published in Print: 2013-11-01


Citation Information: Advances in Nonlinear Analysis, Volume 2, Issue 4, Pages 339–378, ISSN (Online) 2191-950X, ISSN (Print) 2191-9496, DOI: https://doi.org/10.1515/anona-2013-0015.

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[1]
Khalid Atifi, Idriss Boutaayamou, Hamed Ould Sidi, and Jawad Salhi
Abstract and Applied Analysis, 2018, Volume 2018, Page 1
[2]
Genni Fragnelli and Dimitri Mugnai
Electronic Journal of Qualitative Theory of Differential Equations, 2018, Number 50, Page 1
[3]
Jawad Salhi
Electronic Journal of Qualitative Theory of Differential Equations, 2018, Number 31, Page 1
[4]
Idriss Boutaayamou, Genni Fragnelli, and Lahcen Maniar
Journal d'Analyse Mathématique, 2018
[5]
Genni Fragnelli
Journal de Mathématiques Pures et Appliquées, 2018
[6]
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Discrete and Continuous Dynamical Systems - Series S, 2016, Volume 9, Number 3, Page 697

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