5 citations · 9 across the 4 of their papers we have counts for
5 papers
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…
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…
Towards optimal sensor placement for inverse problems in spaces of measures
Phuoc-Truong Huynh, Konstantin Pieper, Daniel Walter
The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be usefu…
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 con…
Semilinear nonlocal elliptic equations with source term and measure data
Phuoc-Truong Huynh, Phuoc-Tai Nguyen
Recently, several works have been carried out in attempt to develop a theory for linear or sublinear elliptic equations involving a general class of nonlocal operators characterize…