We study an analog of the anisotropic Calder\'on problem for fractional Schr\" odinger operators $(-\Delta_g)^\alpha+ V $ with $\alpha\in (0, 1) $ on closed Riemannian manifolds …
J Ilmavirta, F Monard - The Radon Transform: The First, 2019 - degruyter.com
4 Integral geometry on manifolds with boundary and applications Page 1 Joonas Ilmavirta and François Monard 4 Integral geometry on manifolds with boundary and applications …
We survey some results on travel time tomography. The question is whether we can determine the anisotropic index of refraction of a medium by measuring the travel times of …
We study the inverse boundary problem for a nonlinear magnetic Schrödinger operator on a conformally transversally anisotropic Riemannian manifold of dimension n≥ 3. Under …
S Muñoz-Thon - arXiv preprint arXiv:2312.02506, 2023 - arxiv.org
We consider a compact Riemannian manifold with boundary, endowed with a magnetic field and a potential. This is called an $\mathcal {MP} $-system. On simple $\mathcal {MP} …
S Dyatlov, C Guillarmou - Bulletin of the American Mathematical Society, 2018 - ams.org
Afterword: Dynamical zeta functions for Axiom A flows Page 1 BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 55, Number 3, July 2018, Pages 337–342 …
In this article we prove meromorphic continuation of weighted zeta functions Z f in the framework of open hyperbolic systems by using the meromorphically continued restricted …
We show uniqueness results for the anisotropic Calderón problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to …
L Yan - SIAM Journal on Mathematical Analysis, 2021 - SIAM
We study inverse boundary problems for first order perturbations of the biharmonic operator on a conformally transversally anisotropic Riemannian manifold of dimension n≥3. We …