4 citations · 5 across the 4 of their papers we have counts for
4 papers
Improved stability of low Fourier modes in inverse problems for potentials
Tony Liimatainen, William Trad, Mikko Salo
We prove Lipschitz, sub-Hölder and Hölder stability estimates for recovering the low Fourier modes of an unknown potential from the Dirichlet-to-Neumann (DN) map. We study three di…
Eigenvalue Variations of the Neumann Laplace Operator Due to Perturbed Boundary Conditions
Medet Nursultanov, William Trad, Justin Tzou +1
This work considers the Neumann eigenvalue problem for the weighted Laplacian on a Riemannian manifold under the singular perturbation. This perturbation involve…
The narrow capture problem on general Riemannian surfaces
Medet Nursultanov, William Trad, Justin C. Tzou +1
In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modell…
Narrow escape problem in the presence of the force field
Medet Nursultanov, William Trad, Leo Tzou
This paper considers the narrow escape problem of a Brownian particle within a three-dimensional Riemannian manifold under the influence of the force field. We compute an asymptoti…