inverse obstacle scattering
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scholarly journals Monotonicity in inverse obstacle scattering on unbounded domains

2020 ◽  
Vol 36 (8) ◽  
pp. 085014
Author(s):  
Annalena Albicker ◽  
Roland Griesmaier
Keyword(s):  
Unbounded Domains ◽  
Obstacle Scattering ◽  
Inverse Obstacle Scattering

scholarly journals Elastic energy regularization for inverse obstacle scattering problems

2019 ◽  
Vol 35 (10) ◽  
pp. 104009
Author(s):  
J Eckhardt ◽  
R Hiptmair ◽  
T Hohage ◽  
H Schumacher ◽  
M Wardetzky
Keyword(s):  
Elastic Energy ◽  
Scattering Problems ◽  
Obstacle Scattering ◽  
Inverse Obstacle Scattering

scholarly journals Karp's Theorem in Inverse Obstacle Scattering Problems

2019 ◽  
Vol 17 ◽  
pp. 34-38
Author(s):  
Jaemin Shin
Keyword(s):  
Laplace Operator ◽  
Inverse Scattering ◽  
Unique Continuation ◽  
Scattering Problems ◽  
Continuation Principle ◽  
Inverse Scattering Problems ◽  
Obstacle Scattering ◽  
Inverse Obstacle Scattering

In this work, we provide a proof of the so-called Karp's theorem in a different approach. We use the unique continuation principle together with the monotonicity of eigenvalues for the negative Laplace operator. This method is new and would be applicable to other types of inverse scattering problems.

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