Estimating Both Reflection Coefficients of 2×2 Linear Hyperbolic Systems with Single Boundary Measurement

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304413 ◽

2020 ◽

Author(s):

Nils Christian A. Wilhelmsen ◽

Florent Di Meglio

Keyword(s):

Hyperbolic Systems ◽

Reflection Coefficients ◽

Boundary Measurement ◽

Single Boundary

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The determination of a discontinuity in a conductivity from a single boundary measurement

Inverse Problems ◽

10.1088/0266-5611/14/1/008 ◽

1998 ◽

Vol 14 (1) ◽

pp. 67-82 ◽

Author(s):

Frank Hettlich ◽

William Rundell

Keyword(s):

Boundary Measurement ◽

Single Boundary

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Recovering a Lamé kernel in a viscoelastic equation by a single boundary measurement

Applicable Analysis ◽

10.1080/00036810903518975 ◽

2010 ◽

Vol 89 (3) ◽

pp. 377-390 ◽

Author(s):

V.G. Romanov ◽

M. Yamamoto

Keyword(s):

Boundary Measurement ◽

Viscoelastic Equation ◽

Single Boundary

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Multidimensional inverse hyperbolic problem with impulse input and a single boundary measurement

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.1999.7.6.573 ◽

1999 ◽

Vol 7 (6) ◽

Author(s):

V. G. Romanov ◽

M. Yamamoto

Keyword(s):

Hyperbolic Problem ◽

Boundary Measurement ◽

Single Boundary

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Reconstruction of a time dependent source term from a single boundary measurement in Maxwell’s equations with nonlinear generalized Ohm’s law

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.014 ◽

2018 ◽

Vol 334 ◽

pp. 58-76 ◽

Author(s):

Jaroslav Chovan ◽

Marián Slodička

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Source Term ◽

Time Dependent ◽

Ohm’S Law ◽

Boundary Measurement ◽

Ohm's Law ◽

Single Boundary

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Recovery of the heat equation from a single boundary measurement

Applicable Analysis ◽

10.1080/00036811.2017.1332760 ◽

2017 ◽

Vol 97 (10) ◽

pp. 1667-1676

Author(s):

Amin Boumenir ◽

Vu Kim Tuan

Keyword(s):

Heat Equation ◽

Boundary Measurement ◽

Single Boundary

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Recovery of a fractional diffusion equation from a single boundary measurement

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5456 ◽

2019 ◽

Author(s):

Amin Boumenir ◽

Vu Kim Tuan

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Boundary Measurement ◽

Single Boundary

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Recovering density for the Mindlin–Timoshenko system by means of a single boundary measurement

Applicable Analysis ◽

10.1080/00036811.2021.1994956 ◽

2021 ◽

pp. 1-17

Author(s):

Jason Kurz ◽

Shitao Liu ◽

Pei Pei

Keyword(s):

Timoshenko System ◽

Boundary Measurement ◽

Single Boundary

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Hölder stability estimate of Robin coefficient in corrosion detection with a single boundary measurement

Inverse Problems ◽

10.1088/0266-5611/31/11/115009 ◽

2015 ◽

Vol 31 (11) ◽

pp. 115009 ◽

Author(s):

Guanghui Hu ◽

Masahiro Yamamoto

Keyword(s):

Stability Estimate ◽

Corrosion Detection ◽

Boundary Measurement ◽

Single Boundary ◽

Hölder Stability

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THE GLOBAL SMOOTH SOLUTION FOR HIGH-DIMENSIONAL HYPERBOLIC SYSTEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30138-3 ◽

1994 ◽

Vol 14 (3) ◽

pp. 241-251 ◽

Author(s):

Zhiming Hu ◽

Tong Zhang

Keyword(s):

Smooth Solution ◽

Hyperbolic Systems ◽

High Dimensional ◽

Global Smooth Solution

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Control of Pseudo-Hyperbolic Systems by Concentrated Impacts

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v32.i12.40 ◽

2000 ◽

Vol 32 (12) ◽

pp. 23-36 ◽

Author(s):

Sergey I. Lyashko ◽

Vladimir V. Semenov ◽

Ivan I. Lyashko

Keyword(s):

Hyperbolic Systems

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