2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155897The paper presents a survey of mathematical problems, techniques, and challenges arising in the Thermoacoustic and Photoacoustic Tomography.Analysis of PDEsMathematical Physics35L05, 92C55, 44A12, 65R10, 35Q80, 35Q05Mathematics of thermoacoustic tomographytext