44 citations · 334 across the 44 of their papers we have counts for
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Nonlinear Elliptic Dirichlet and No-Flux Boundary Value Problems
Loc Hoang Nguyen, Klaus Schmitt
This paper is devoted to establishing results for semilinear elliptic boundary value problems where the solvability of problems subject to {\it No Flux} boundary conditions follows…
Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process
Habib Ammari, Josselin Garnier, Loc Hoang Nguyen +1
The aim of this paper is to tackle the nonlinear optical reconstruction problem. Given a set of acousto-optic measurements, we develop a mathematical framework for the reconstructi…
Quantitative thermo-acoustic imaging: An exact reconstruction formula
Habib Ammari, Josselin Garnier, Wenjia Jing +1
This paper aims to mathematically advance the field of quantitative thermo-acoustic imaging. Given several electromagnetic data sets, we establish for the first time an analytical…