We consider the semilinear wave equation□ gu+ au 4= 0, a≠ 0, on a Lorentzian manifold
(M, g) with timelike boundary. We show that from the knowledge of the Dirichlet-to-Neumann …

We consider the ultrasound imaging problem governed by a nonlinear wave equation of
Westervelt type with variable wave speed. We show that the coefficient of nonlinearity can …

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 …

Given a conformally transversally anisotropic manifold (M, g), we consider the semilinear
elliptic equation (-Δ g+ V) u+ qu 2= 0 on M. We show that an a priori unknown smooth …

We study the inverse problem of recovery a nonlinearity f (t, x, u), which is compactly
supported in x, in the semilinear wave equation u tt− Δ u+ f (t, x, u)= 0. We probe the medium …

We consider an inverse problem arising in nonlinear ultrasound imaging. The propagation
of ultrasound waves is modeled by a quasilinear wave equation. We make measurements at …

In this paper, we consider an inverse problem for a nonlinear wave equation with a damping
term and a general nonlinear term. This problem arises in nonlinear acoustic imaging and …

This paper is devoted to some inverse problems of recovering the nonlinearity for the Jordan–
Moore–Gibson–Thompson equation, which is a third order nonlinear acoustic equation. This …

We study the nondiffusive Westervelt equation in the weakly nonlinear regime and show that
the leading profile equation is of Burgers' type. We show that a compactly supported …

We study inverse problems for the nonlinear wave equation□ g u+ w (x, u,∇ gu)= 0 in a
Lorentzian manifold (M, g) with boundary, where∇ gu denotes the gradient and w (x, u, ξ) is …