Determination of point wave sources by boundary measurements

2001 ◽  
Vol 17 (4) ◽  
pp. 1127-1139 ◽  
Author(s):  
A El Badia ◽  
T Ha-Duong
Keyword(s):  
Boundary Measurements

scholarly journals Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements

2014 ◽  
Vol 46 (4) ◽  
pp. 2692-2729 ◽  
Author(s):  
Giovanni Alessandrini ◽  
Michele Di Cristo ◽  
Antonino Morassi ◽  
Edi Rosset
Keyword(s):  
Elastic Body ◽  
Boundary Measurements

scholarly journals On the determination of the principal coefficient from boundary measurements in a KdV equation

2014 ◽  
Vol 22 (6) ◽  
Author(s):  
Lucie Baudouin ◽  
Eduardo Cerpa ◽  
Emmanuelle Crépeau ◽  
Alberto Mercado
Keyword(s):  
Inverse Problem ◽  
Kdv Equation ◽  
Carleman Estimate ◽  
Lipschitz Stability ◽  
Single Solution ◽  
De Vries ◽  
Boundary Measurements ◽  
Global Carleman Estimate

AbstractThis paper concerns the inverse problem of retrieving the principal coefficient in a Korteweg–de Vries (KdV) equation from boundary measurements of a single solution. The Lipschitz stability of this inverse problem is obtained using a new global Carleman estimate for the linearized KdV equation. The proof is based on the Bukhgeĭm–Klibanov method.

Stable determination of a crack from boundary measurements

1993 ◽  
Vol 123 (3) ◽  
pp. 497-516 ◽  
Author(s):  
Giovanni Alessandrini
Keyword(s):  
Continuous Dependence ◽  
Boundary Measurements

SynopsisWe treat the problem of determining a crack inside a conductor when two pairs of current and voltage boundary measurements are given. We prove a theorem of continuous dependence from the data.

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