2 citations · 2 across the 3 of their papers we have counts for
5 papers
Segmentation of Scanning Tunneling Microscopy Images Using Variational Methods and Empirical Wavelets
Bui Kevin, Fauman Jacob, Kes David +7
In the fields of nanoscience and nanotechnology, it is important to be able to functionalize surfaces chemically for a wide variety of applications. Scanning tunneling microscopes…
Stability estimate for the relativistic Schrödinger equation with time-dependent vector potentials
Ricardo Salazar
We consider the relativistic Schrödinger equation with a time dependent vector and scalar potential on a bounded cylindrical domain. Using a Geometric Optics Ansatz we establish a…
Stability estimate and the Aharonov-Bohm effect for the Klein-Gordon equation with time-dependent vector potentials
Ricardo Salazar, Alden Waters
We consider the relativistic Schrödinger (Gordon-Klein) equation with a time dependent vector and a scalar potential on a bounded cylindrical domain. Using a standard Geometric Opt…
Stability for Time Dependent X-ray Transforms and Applications
Alden Waters
We prove a logarithmic stability estimate for the time dependent X-ray transform on . To do so, we extend a known result by Begmatov for the stabi…
Determination of time-dependent coefficients for a hyperbolic inverse problem
Ricardo Salazar
We consider an inverse boundary value problem for the hyperbolic partial differential equation $ (-i\partial_{t} + A_{0}(t,x))^2 u(t,x) - \sum_{j=1}^n (-i\partial_{x_j} + A_{j}(t,x…