Inverse problems and Carleman estimates Page 1 Inverse Problems Inverse problems and
Carleman estimates To cite this article: MV Klibanov 1992 Inverse Problems 8 575 View the …

We consider the recovery of a potential associated with a semi-linear wave equation on R
n+ 1, n≥ 1. We show that an unknown potential a (x, t) of the wave equation□ u+ aum= 0 …

A convexification-based numerical method for a coefficient inverse problem for a parabolic
PDE is presented. The key element of this method is the presence of the so-called Carleman …

For the first time, we develop in this paper the globally convergent convexification numerical
method for a coefficient inverse problem for the three-dimensional Helmholtz equation for …

We develop a theoretical analysis for special neural network architectures, termed operator
recurrent neural networks, for approximating nonlinear functions whose inputs are linear …

The motivation of this work is an inverse problem for the acoustic wave equation, where an
array of sensors probes an unknown medium with pulses and measures the scattered …

We consider the recovery of a potential associated with a semi-linear wave equation on
$\mathbb {R}^{n+ 1} $, $ n\geq 1$. We show a H\" older stability estimate for the recovery of …

We develop a linearized boundary control method for the inverse boundary value problem of
determining a density in the acoustic wave equation. The objective is to reconstruct an …

This paper concerns an inverse boundary value problem of recovering a zeroth order time-
dependent term of a semi-linear wave equation on a globally hyperbolic Lorentzian …

A version of the convexification globally convergent numerical method is constructed for a
coefficient inverse problem for a wave-like partial differential equation. The presence of the …