scholarly journals Stable determination of an inhomogeneous inclusion by local boundary measurements

2007 ◽  
Vol 198 (2) ◽  
pp. 414-425 ◽  
Author(s):  
Michele Di Cristo
Keyword(s):  
Local Boundary ◽  
Boundary Measurements

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 Microwave experiments in the realm of fidelity

2016 ◽  
Vol 374 (2069) ◽  
pp. 20150158 ◽  
Author(s):  
U. Kuhl
Keyword(s):  
Weak Coupling ◽  
Chaotic Systems ◽  
Review Article ◽  
Main Ingredient ◽  
Local Boundary ◽  
Global And Local ◽  
Fidelity Decay ◽  
Boundary Perturbations

In this review article, we will demonstrate the power of microwave experiments in the realm of fidelity also known as Loschmidt echoes. As the determination of the fidelity itself is experimentally tedious and error prone, we will introduce the scattering fidelity which under the conditions of chaotic systems and weak coupling approaches the fidelity itself. The main ingredient in fidelity investigations is the type and strength of a perturbation. The perturbations presented here will be both global and local boundary perturbations, as well as local perturber movements but also the change of coupling to the environment. All these perturbations will produce their own fidelity decay as a function of the perturbation strength, which will be discussed in this article.

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.

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