[图书][B] Geometric inverse problems

GP Paternain, M Salo, G Uhlmann - 2023 - books.google.com
This up-to-date treatment of recent developments in geometric inverse problems introduces
graduate students and researchers to an exciting area of research. With an emphasis on the …

Calder\'{o} n problem for fractional Schr\"{o} dinger operators on closed Riemannian manifolds

A Feizmohammadi, K Krupchyk, G Uhlmann - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

Integral geometry on manifolds with boundary and applications

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 …

Travel time tomography

P Stefanov, G Uhlmann, A Vasy, H Zhou - Acta Mathematica Sinica …, 2019 - Springer
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 …

Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds

K Krupchyk, G Uhlmann - Analysis & PDE, 2023 - msp.org
We study the inverse boundary problem for a nonlinear magnetic Schrödinger operator on a
conformally transversally anisotropic Riemannian manifold of dimension n≥ 3. Under …

The boundary and scattering rigidity problems for simple MP-systems

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} …

Afterword: dynamical zeta functions for Axiom A flows

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 …

Meromorphic continuation of weighted zeta functions on open hyperbolic systems

P Schütte, T Weich, S Barkhofen - Communications in Mathematical …, 2023 - Springer
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 …

Remarks on the anisotropic Calderón problem

C Cârstea, A Feizmohammadi, L Oksanen - Proceedings of the American …, 2023 - ams.org
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 …

Inverse boundary problems for biharmonic operators in transversally anisotropic geometries

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 …