Research

Research Interest

My research is primarily concerned with the theoretical analysis of inverse problems, motivated by applications in medical imaging, geophysics, and industrial settings. In particular, I focus on the study of inverse problems using tools from partial differential equations, differential geometry, functional analysis, and microlocal analysis. I am also interested in the development and implementation of numerical algorithms to complement and visualize theoretical results.

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Publications

S Acosta & B Palacios, 2025. Simultaneous determination of wave speed, diffusivity and nonlinearity in the Westervelt equation using complex time-periodic solutions. SIAM J. Appl. Math.
S Acosta, B Palacios & T. Khajah, 2025. A new interpolated pseudo-differential precondition for the Helmholtz equations in heterogeneous media. SIAM J. Sci. Comput.
S. Acosta, J. Chan, R. Johnson and B. Palacios, 2024. Pseudo-Differential Models for Ultrasound Waves with Fractional Attenuation. SIAM J. Appl. Math.
G. Bal & B. Palacios, 2023, Fermi pencil-beams and off-axis laser detection. JOSA A.
B. Palacios, 2022, Photoacoustic tomography in attenuating media with partial data. Inverse Probl. Imaging.
P. Arratia, M. Courdurier, E. Cueva, A. Osses, B. Palacios, 2021, Lipschitz stability for backward heat equation with application to fluorescence microscopy. SIAM J. Math. Anal.
G Bal & B Palacios, 2021. Pencil-beam approximation of fractional Fokker-Planck. Kinetic and Related Models.
G Bal & B Palacios, 2020. Pencil-beam approximation of stationary Fokker-Planck. SIAM J. Math. Anal.
E Cueva, M Courdurier, A Osses, V Castañeda, B Palacios, S Härtel, 2020. Mathematical Modeling for 2D Light-Sheet Fluorescence Microscopy image reconstruction. Inverse Problems.
B Palacios, G Uhlmann & Y Wang, 2018. Quantitative analysis of metal artifacts in X-ray tomography. SIAM J. Math. Anal.
S Acosta & B Palacios, 2018. Thermoacoustic tomography for an integro-differential wave equation modeling attenuation. Journal of Differential Equations
B Palacios, G Uhlmann & Y Wang, 2017. Reducing streaking artifacts in quantitative susceptibility mapping. SIAM J. Imaging Sci.
B Palacios, 2016. Reconstruction for multi-wave imaging in attenuating media with large damping coefficient. Inverse Problems.
A Osses & B Palacios, 2013. Potential recovery for Reissner-Mindlin and Kirchhoff-Love plate models using global Carleman estimates. Inverse Problems.

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