On Uniqueness of an Inverse Problem for a 1-D Wave Equation from Transmission Data

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139994276069 ◽

1997 ◽

Vol 57 (1) ◽

pp. 195-204 ◽

Author(s):

Liu Jijun ◽

Wang Yuanming

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Transmission Data ◽

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A Regularization Homotopy Method for the Inverse Problem of 2-D Wave Equation and Well Log Constraint Inversion

Chinese Journal of Geophysics ◽

10.1002/cjg2.801 ◽

2005 ◽

Vol 48 (6) ◽

pp. 1509-1517 ◽

Author(s):

Hong-Sun FU ◽

Bo HAN

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Homotopy Method ◽

Well Log ◽

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Solution to the inverse problem of the 1‐D wave equation

Journal of Mathematical Physics ◽

10.1063/1.528390 ◽

1989 ◽

Vol 30 (3) ◽

pp. 735-739 ◽

Author(s):

Jau‐Inn Huang

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

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A solution of an inverse problem in the 1 D wave equation application to the inversion of vertical seismic profiles

Analysis and Optimization of Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006294 ◽

2005 ◽

pp. 309-323

Author(s):

D. Macé ◽

P. Lailly

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Seismic Profiles ◽

Vertical Seismic Profiles ◽

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Rotated weights in global Carleman estimates applied to an inverse problem for the wave equation

Inverse Problems ◽

10.1088/0266-5611/22/1/015 ◽

2006 ◽

Vol 22 (1) ◽

pp. 265-296 ◽

Author(s):

A Doubova ◽

A Osses

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Carleman Estimates

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Application of global Carleman estimates with rotated weights to an inverse problem for the wave equation

Comptes Rendus Mathematique ◽

10.1016/j.crma.2005.09.022 ◽

2005 ◽

Vol 341 (9) ◽

pp. 555-560

Author(s):

Anna Doubova ◽

Axel Osses

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Carleman Estimates

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A method of linearizing the inverse problem for the wave equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(87)90062-0 ◽

1987 ◽

Vol 27 (5) ◽

pp. 157-165

Author(s):

I.P. Borovikov ◽

Yu.L. Gaponenko

Keyword(s):

Inverse Problem ◽

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A Widely Convergent Generalized Pulse- Spectrum Methods for 2-D Wave Equation Inversion

Chinese Journal of Geophysics ◽

10.1002/cjg2.353 ◽

2003 ◽

Vol 46 (2) ◽

pp. 373-380 ◽

Author(s):

Guofeng FENG ◽

Bo HAN ◽

Jiaqi LIU

Keyword(s):

Wave Equation ◽

Pulse Spectrum ◽

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Convergence of the Finite-Difference Method for the 1—d Wave Equation with Homogeneous Dirichlet Boundary Conditions

Numerical Approximation of Exact Controls for Waves - SpringerBriefs in Mathematics ◽

10.1007/978-1-4614-5808-1_3 ◽

2013 ◽

pp. 59-78

Author(s):

Sylvain Ervedoza ◽

Enrique Zuazua

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

The Finite Difference Method ◽

Homogeneous Dirichlet Boundary Conditions ◽

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Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation

Inverse Problems & Imaging ◽

10.3934/ipi.2019027 ◽

2019 ◽

Vol 13 (3) ◽

pp. 575-596 ◽

Author(s):

Jussi Korpela ◽

◽

Matti Lassas ◽

Lauri Oksanen ◽

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Dimensional Wave

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Exact Behavior of Singularities of Protter’s Problem for the 3-D Wave Equation

Computing Supplementa - Inclusion Methods for Nonlinear Problems ◽

10.1007/978-3-7091-6033-6_16 ◽

2003 ◽

pp. 213-236 ◽

Author(s):

Nedyu Popivanov ◽

Todor Popov

Keyword(s):

Wave Equation ◽

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