24 citations · 27 across the 12 of their papers we have counts for
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Microlocal analysis of the light ray transform on globally hyperbolic Lorentzian manifolds
Yiran Wang
For the light ray transform on globally hyperbolic Lorentzian manifolds of dimension acting on compactly supported distributions, we show that the Schwartz kernel of t…
The anisotropic Calderón problem for high fixed frequency
Gunther Uhlmann, Yiran Wang
We consider Schrödinger operators at a fixed high frequency on simply connected compact Riemannian manifolds with non-positive sectional curvatures and smooth strictly convex bound…
Sharp resolvent estimates on non-positively curved asymptotically hyperbolic manifolds
Yiran Wang
We study the high energy estimate for the resolvent of the Laplacian on non-trapping asymptotically hyperbolic manifolds (AHM). In the literature, polynomial bound of the fo…
On the light ray transform of wave equation solutions
András Vasy, Yiran Wang
We study the light ray transform on Minkowski space-time and its small metric perturbations acting on scalar functions which are solutions to wave equations. We show that the light…
Convolutional neural networks in phase space and inverse problems
Gunther Uhlmann, Yiran Wang
We study inverse problems consisting on determining medium properties using the responses to probing waves from the machine learning point of view. Based on the understanding of pr…
Singularities generated by the triple interaction of semilinear conormal waves
Antônio Sá Barreto, Yiran Wang
We study the local propagation of conormal singularities for solutions of semilinear wave equations , where is a polynomial of degree in $…