
Guillaume Bal
Research Specialty
applied mathematics, partial differential equations with random coefficients, theory of inverse problems
Education
Diploma, Ecole Polytechnique, 1993
Ph.D. University Paris VI, 1997
Recent Publications
Other recent publications
On Multi-spectral quantitative photoacoustic tomography (with K. Ren), Inverse Problems, 28, 025010, 2012
Non-uniqueness result for a hybrid inverse problem (with K. Ren), to appear in Contemporary Mathematics, 2012
Combined source and attenuation reconstructions in SPECT (with A. Jollivet), to appear in Contemporary Mathematics, 2012
Inverse Transport with isotropic time harmonic sources (with F. Monard), SIAM J. Math. Anal., 44, pp.134-161, 2012
Large Deviation Theory for a Homogenized and "Corrected" Elliptic ODE (with R. Ghanem and I. Langmore), J. Differential Equations, 251(7), pp. 1864-1902, 2011.
Corrector theory for MsFEM and HMM in random media (with W. Jing), Multiscale Model. Simul., 9, pp. 1549-1587, 2011.
Convergence to Homogenized or Stochastic Partial Differential Equations, Appl Math Res Express, 2011(2), pp. 215-241, 2011.
Corrector theory for elliptic equations in random media with singular Green's function. Application to random boundaries (with W. Jing), Comm. Math. Sci., 9(2), pp. 383-411, 2011.
Imaging using transport models for wave-wave correlations (with O. Pinaud), Math. Models Methods Appl. Sci, 21(3), pp. 1071-1093, 2011
Multiple-source quantitative photoacoustic tomography (with K. Ren), Inverse Problems, 27(7), 075003, 2011
Quantitative Thermo-acoustics and related problems (with K. Ren, G. Uhlmann and T. Zhou), Inverse Problems, 27(5), 055007, 2011.
Angular average of time-harmonic transport solutions (with A. Jollivet, I. Langmore and F. Monard), Comm. Partial Differential Equations, 36(6), pp. 1044-1070, 2011