2 citations · 3 across the 4 of their papers we have counts for
9 papers
The attenuated ray transforms on Gaussian thermostats with negative curvature
Yernat M. Assylbekov, Franklin T. Rea
In the present paper we consider a Gaussian thermostat on a compact Riemannian surface with negative thermostat curvature. In the case of surfaces with boundary, we show that the t…
Unique recovery of electrical conductivity and magnetic permeability from Magneto-Telluric data
Yernat M. Assylbekov, Maarten V. de Hoop
We present a comprehensive mathematical study of the Magneto-Telluric (MT) method, on bounded domain in . We show that electrical conductivity and magnetic permeabili…
Inverse problems for nonlinear Maxwell's equations with second harmonic generation
Yernat Assylbekov, Ting Zhou
In the current paper we consider an inverse boundary value problem of electromagnetism with nonlinear Second Harmonic Generation (SHG) process. We show the unique determination of…
The attenuated geodesic ray transform on tensors: generic injectivity and stability
Yernat M. Assylbekov
We consider the attenuated geodesic ray transform defined on pairs of symmetric -tensors and -forms on a simple Riemannian manifold. We prove injectivity and stability result…
A sharp stability estimate for the geodesic ray transform
Yernat Assylbekov, Plamen Stefanov
We prove a sharp stability estimate for the geodesic X-ray transform of tensor fields of order , and on a simple Riemannian manifold with a suitable cho…
Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media
Yernat M. Assylbekov, Ting Zhou
In the current paper we consider an inverse boundary value problem of electromagnetism in a nonlinear Kerr medium. We show the unique determination of the electromagnetic material…