inverse medium problem
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scholarly journals Stability for the multifrequency inverse medium problem

2020 ◽  
Vol 269 (9) ◽  
pp. 7106-7128 ◽  
Author(s):  
Gang Bao ◽  
Faouzi Triki
Keyword(s):  
Inverse Medium ◽  
Inverse Medium Problem

scholarly journals Inverse medium problem for a singular contrast

2019 ◽  
Vol 60 (11) ◽  
pp. 111508
Author(s):  
V. Serov ◽  
T. Tyni
Keyword(s):  
Inverse Medium ◽  
Inverse Medium Problem

scholarly journals An inverse medium problem using Stekloff eigenvalues and a Bayesian approach

2019 ◽  
Vol 35 (9) ◽  
pp. 094004 ◽  
Author(s):  
Juan Liu ◽  
Yanfang Liu ◽  
Jiguang Sun
Keyword(s):  
Bayesian Approach ◽  
Inverse Medium ◽  
Inverse Medium Problem

NEW GLOBAL LOGARITHMIC STABILITY RESULTS ON THE CAUCHY PROBLEM FOR ELLIPTIC EQUATIONS

2019 ◽  
Vol 101 (1) ◽  
pp. 141-145
Author(s):  
MOURAD CHOULLI
Keyword(s):  
Cauchy Problem ◽  
Elliptic Equation ◽  
Elliptic Equations ◽  
Stability Estimates ◽  
Anisotropic Elliptic Equation ◽  
The Cauchy Problem ◽  
Inverse Medium ◽  
Logarithmic Stability ◽  
Stability Results ◽  
Inverse Medium Problem

We prove the global logarithmic stability of the Cauchy problem for $H^{2}$-solutions of an anisotropic elliptic equation in a Lipschitz domain. The result is based on existing techniques used to establish stability estimates for the Cauchy problem combined with related tools used to study an inverse medium problem.

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