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5 papers · 1 filter
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann
In the recent articles \cite{PSU1,PSU3}, a number of tensor tomography results were proved on two-dimensional manifolds. The purpose of this paper is to extend some of these method…
The inverse problem for the local geodesic ray transform
Gunther Uhlmann, András Vasy
Under a convexity assumption on the boundary we solve a local inverse problem, namely we show that the geodesic X-ray transform can be inverted locally in a stable manner; one even…
Lagrangian Mean Curvature flow for entire Lipschitz graphs II
Albert Chau, Jingyi Chen, Yu Yuan
We prove longtime existence and estimates for solutions to a fully nonlinear Lagrangian parabolic equation with locally initial data satisfying either (1) $-(1+η) I…
Short-time existence for some higher-order geometric flows
Eric Bahuaud, Dylan Helliwell
We establish short-time existence and regularity for higher-order flows generated by a class of polynomial natural tensors that, after an adjustment by the Lie derivative of the me…
Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions
Dylan Helliwell
We study boundary regularity for conformally compact Einstein metrics in even dimensions by generalizing the ideas of Michael Anderson. Our method of approach is to view the vanish…