## Course Material

Some lecture notes from recent courses on inverse problems.- From a course taught at the University of Washington on "X-Ray Tomography and Transport Theory", Summer 2011:
- Guillaume Bal's course notes on inverse problems: pdf.
- Cedric Bellis' lectures notes on transmission eigenvalues: pdf.
- Mikko Salo's lecture notes on Calderon's problem: pdf.

## Publications

Some featured publications by the IP@AM members and collaborators.### Topical reviews

- G. Bal, Hybrid inverse problems and internal information, submitted, 2011.
- G. Bal,
*Inverse Transport Theory and applications*, Inverse Problems, 25, 055006, 2009.

### Articles on inverse transport theory

- G. Bal and F. Monard, Inverse transport with isotropic time-harmonic sources, to appear in SIAM Journal of Mathematical Analysis, 2012.
- G. Bal, A. Jollivet, I. Langmore and F. Monard, Angular average of time-harmonic transport solutions, Communications in Partial Differential Equations, 1532-4133, Vol. 36, Issue 6, 2011, Pages 1044 - 1070.
- G. Bal and A. Jollivet,
*Time-dependent angularly averaged inverse transport*,*Inverse Problems*,**25**, 075010, 2009. - G. Bal and A. Jollivet,
*Stability estimates for time dependent inverse transport*,*SIAM J. Math. Anal.*,**42**(2), pp. 679-700, 2010 - G. Bal, I. Langmore and F. Monard,
*Inverse Transport with Isotropic Sources and Angularly Averaged Measurements*, Inverse Probl. Imaging, 2(1), pp. 23-42, 2008

### Articles on hybrid inverse problems

- F. Monard and G. Bal, Inverse anisotropic diffusion from power density measurements in two dimensions, submitted to Inverse Problems, 2011.
- F. Monard and G. Bal, Inverse diffusion problems with redundant internal information, submitted to Inverse Probl. Imaging, 2011.
- G. Bal, Cauchy problem for Ultrasound Modulated EIT, submitted, 2011.
- G. Bal, E. Bonnetier, F. Monard and F. Triki, Inverse diffusion from knowledge of power densities, submitted to Inverse Probl. Imaging, 2011.
- G. Bal and K. Ren, On Multi-spectral quantitative photoacoustic tomography, submitted.
- G. Bal and K. Ren, Multiple-source quantitative photoacoustic tomography,
*Inverse problems*,**27**(7), 075003, 2011. - G. Bal and K. Ren, Non-uniqueness result for a hybrid inverse problem , to appear in
*Contemporary Mathematics*, 2012. - G. Bal, K. Ren, G. Uhlmann and T. Zhou, Quantitative Thermo-acoustics and related problems,
*Inverse Problems*,**27**(5), 055007, 2011. - G. Bal and J.C. Schotland,
*Inverse Scattering and Acousto-Optic Imaging*,*Phys. Rev. Letters*,**104**, 043902, 2010 - G. Bal and G. Uhlmann,
*Inverse Diffusion Theory of Photoacoustics*,*Inverse Problems*,**26**(8), 085010, 2010 - G. Bal, A. Jollivet and V. Jugnon,
*Inverse Transport Theory of Photoacoustics*,*Inverse Problems*,**26**, 025011, 2010

### Articles on Numerical Methods for transport

- F. Monard and G. Bal,
*An accurate solver for forward and inverse transport*,*J. Comp. Phys.*,**229**, pp. 4952-4979, 2010

### Articles on inverse scattering for the relativistic Newton equation

- A. Jollivet,
*On inverse problems in electromagnetic field in classical mechanics at fixed energy*, J. Geom. Anal. 17:(2), 275--319 (2007). - A. Jollivet,
*On inverse problems for the multidimensional relativistic Newton equation at fixed energy*, Inverse Problems 23:(1), 231--242 (2007). - A. Jollivet,
*On inverse scattering for the multidimensional relativistic Newton equation at high energies*, J. Math. Phys. 47:(6) 062902, (2006).