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On determining an absorption coefficient and a speed of sound in the wave equation by the BC method
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Leonid Pestov
Published/Copyright:
November 29, 2013
Abstract.
We consider the inverse multidimensional problem for the wave equation with unknown variable speed and absorbtion. A linear procedure based on the boundary control method for determining both coefficients is proposed.
MSC: 35R30
Funding source: 12-01-00260a RFBR
Received: 2013-1-22
Published Online: 2013-11-29
Published in Print: 2014-4-1
© 2014 by Walter de Gruyter Berlin/Boston
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- Frontmatter
- Obituary of Alfredo Lorenzi
- A Fourier truncated regularization method for a Cauchy problem of a semi-linear elliptic equation
- Reconstruction of interfaces using CGO solutions for the Maxwell equations
- An identification problem for a semilinear evolution delay equation
- On determining an absorption coefficient and a speed of sound in the wave equation by the BC method
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Articles in the same Issue
- Frontmatter
- Obituary of Alfredo Lorenzi
- A Fourier truncated regularization method for a Cauchy problem of a semi-linear elliptic equation
- Reconstruction of interfaces using CGO solutions for the Maxwell equations
- An identification problem for a semilinear evolution delay equation
- On determining an absorption coefficient and a speed of sound in the wave equation by the BC method
- Convergence of posteriors for structurally non-identified problems using results from the theory of inverse problems
- A comparison of regularization methods for identifying unknown source problem for the modified Helmholtz equation
