A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity
Hoai-Minh Nguyen, Michael S. Vogelius (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Carleman estimates for the non-stationary Lamé system and the application to an inverse problem”
A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity
Interior gradient estimates for nonuniformly parabolic equations. II.
Lieberman, Gary M. (2007)
Boundary Value Problems [electronic only]
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A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
Yves Capdeboscq, Michael S. Vogelius (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.
Asymptotic analysis, in a thin multidomain, of minimizing maps with values in
Antonio Gaudiello, Rejeb Hadiji (2009)
Annales de l'I.H.P. Analyse non linéaire
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Identifiability, stability and reconstruction results of sources by interior measurements.
Nicaise, Serge, Zaïr, Ouahiba (2003)
Portugaliae Mathematica. Nova Série
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A mixed problem with only integral boundary conditions for a hyperbolic equation.
Bouziani, Abdelfatah (2004)
International Journal of Mathematics and Mathematical Sciences
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About stability and regularization of ill-posed elliptic Cauchy problems: the case of domains
Laurent Bourgeois (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems for the Laplace's equation in domains with boundary. It is an extension of an earlier result of [Phung, (2003) 621–635] for domains of class . Our estimate is established by using a Carleman estimate near the boundary in which the exponential weight depends on the distance function to the boundary. Furthermore, we prove that this stability...
Local solution of Carrier's equation in a noncylindrical domain.
Rabello, Tania Nunes, de Campos Vieira, Maria Cristina (2005)
Journal of Inequalities and Applications [electronic only]
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New unilateral problems in stratigraphy
Stanislav N. Antontsev, Gérard Gagneux, Robert Luce, Guy Vallet (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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This work deals with the study of some stratigraphic models for the formation of geological basins under a maximal erosion rate constrain. It leads to introduce differential inclusions of degenerated hyperbolic-parabolic type , where is the maximal monotonous graph of the Heaviside function and is a given non-negative function. Firstly, we present the new and realistic models and an original mathematical formulation, taking into account the rate constraint in the conservation law,...