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math.AP2025
Inverse photoacoustic tomography problem in media with fractional attenuation
Sebastian Acosta, Benjamin Palacios
We investigate the inverse problem of recovering an initial source for the wave equation with fractional attenuation, motivated by photoacoustic tomography (PAT). The attenuation i…
math.AP2025
Simultaneous determination of wave speed, diffusivity and nonlinearity in the Westervelt equation using complex time-periodic solutions
Sebastian Acosta, Benjamin Palacios
We consider an inverse problem governed by the Westervelt equation with linear diffusivity and quadratic-type nonlinearity. The objective of this problem is to recover all the coef…