3 papers
math.ST2025
A Bayesian approach to inverse problems in spaces of measures
Phuoc-Truong Huynh
In this work, we develop a Bayesian framework for solving inverse problems in which the unknown parameter belongs to a space of Radon measures taking values in a separable Hilbert…
math.NA2025
On the optimal choice of the illumination function in photoacoustic tomography
Phuoc-Truong Huynh, Barbara Kaltenbacher
This work studies the inverse problem of photoacoustic tomography (more precisely, the acoustic subproblem) as the identification of a space-dependent source parameter. The model c…
math.AP2024
Compactness of Green operators with applications to semilinear nonlocal elliptic equations
Phuoc-Truong Huynh, Phuoc-Tai Nguyen
In this paper, we consider a class of integro-differential operators posed on a bounded domain with appropriate homogeneous Dirichlet co…