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Keywords : quasi-reversibility
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Méthodes de quasi-réversibilité et de lignes de niveau appliquées aux problèmes inverses elliptiques.

Jérémi Dardé
Mathématiques [math]. Université Paris-Diderot - Paris VII, 2010. Français. ⟨NNT : ⟩
Theses tel-00551853v1
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Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1d case

Eliane Bécache , Laurent Bourgeois , Lucas Franceschini , Jérémi Dardé
Inverse Problems and Imaging , 2015, ⟨10.3934/ipi.2015.9.971⟩
Journal articles hal-01235099v1

A quasi-reversibility approach to solve the inverse obstacle problem

Laurent Bourgeois , Jérémi Dardé
Inverse Problems and Imaging , 2010, 4 (3), pp.351-377. ⟨10.3934/ipi.2010.4.351⟩
Journal articles hal-00873059v1
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Conditional stability for ill-posed elliptic Cauchy problems : the case of $C^{1,1}$ domains (part I)

Laurent Bourgeois
[Research Report] RR-6585, INRIA. 2008
Reports inria-00302354v1
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The "exterior approach" applied to the inverse obstacle problem for the heat equation

Laurent Bourgeois , Jérémi Dardé
SIAM Journal on Numerical Analysis, 2017, 55 (4), ⟨10.1137/16M1093872⟩
Journal articles hal-01366850v2
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An inverse obstacle problem for the wave equation in a finite time domain

Laurent Bourgeois , Dmitry Ponomarev , Jérémi Dardé
Inverse Problems and Imaging , 2019, 19 (2), pp.377-400. ⟨10.3934/ipi.2019019⟩
Journal articles hal-01818956v1
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On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

Laurent Bourgeois , Lucas Chesnel
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, ⟨10.1051/m2an/2019073⟩
Journal articles hal-02385487v1

About stability and regularization of ill-posed elliptic Cauchy problems: The case of C1,1 domains

Laurent Bourgeois
ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (4), pp.715-735. ⟨10.1051/m2an/2010016⟩
Journal articles hal-00873056v1
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A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems

Laurent Bourgeois , Arnaud Recoquillay
ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (1), pp.123-145. ⟨10.1051/m2an/2018008⟩
Journal articles hal-02922747v1