315 citations · 329 across the 13 of their papers we have counts for
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math.AP2021
Elliptic parametrices in the 0-calculus of Mazzeo and Melrose
Peter Hintz
The purpose of this note is to spell out the details of the construction of parametrices for fully elliptic uniformly degenerate pseudodifferential operators on manifolds with…
math.AP2021
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds
Peter Hintz, Gunther Uhlmann, Jian Zhai
We consider the semilinear wave equation , , on a Lorentzian manifold with timelike boundary. We show that from the knowledge of the Dirichlet-to…
math.AP2021
Semiclassical propagation through cone points
Peter Hintz
We introduce a general framework for the study of the diffraction of waves by cone points at high frequencies. We prove that semiclassical regularity propagates through cone points…