We study the inverse problem of unique recovery of a complex-valued scalar function V: M×
C→ C, defined over a smooth compact Riemannian manifold (M, g) with smooth boundary …

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 …

We consider an inverse boundary value problem for a semilinear wave equation on a time-
dependent Lorentzian manifold with time-like boundary. The time-dependent coefficients of …

We consider an inverse boundary value problem for a nonlinear elastic wave equation
which was studied in [1]. We show that all the parameters appearing in the equation can be …

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 …

There has been considerable progress in recent years in solving inverse problems for
nonlinear hyperbolic equations. One of the striking aspects of these developments is the use …

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 …

Inverse scattering for critical semilinear wave equations Page 1 PURE and APPLIED
ANALYSIS msp ANTÔNIO SÁ BARRETO, GUNTHER UHLMANN AND YIRAN WANG …

We show that a connection can be recovered up to gauge from source-to-solution type data
associated with the Yang–Mills equations in Minkowski space R^ 1+ 3 R 1+ 3. Our proof …