21 citations · 73 across the 24 of their papers we have counts for
6 papers · 1 filter
Homogenization on parallelizable Riemannian manifolds
Daniel Faraco, Luis Guijarro, Yaroslav Kurylev +1
We consider the problem of finding the homogenization limit of oscillating linear elliptic equations on an arbitrary parallelizable manifold . We replicate the concept of…
Limiting Carleman weights and conformally transversally anisotropic manifolds
Pablo Angulo-Ardoy, Daniel Faraco, Luis Guijarro +1
We analyze the structure of the set of limiting Carleman weights in all conformally flat manifolds, 3-manifolds, and 4-manifolds. In particular we give a new proof of the classific…
Sufficient conditions for the existence of limiting Carleman weights
Pablo Angulo-Ardoy, Daniel Faraco, Luis Guijarro
In https://arxiv.org/abs/1411.4887, we found some necessary conditions for a Riemannian manifold to admit a local limiting Carleman weight (LCW), based upon the Cotton-York tensor…
Obstructions to the existence of limiting Carleman weights
Pablo Angulo-Ardoy, Daniel Faraco, Luis Guijarro +1
We give a necessary condition for a Riemannian manifold to admit limiting Carleman weights in terms of the Weyl tensor (in dimensions 4 and higher) and the Cotton-York tensor in di…
Balanced split sets and Hamilton-Jacobi equations
Pablo Angulo Ardoy, Luis Guijarro
We study the singular locus of solutions to Hamilton-Jacobi equations with a Hamiltonian independent of . In a previous paper, we proved that the singular locus is what we call…
Cut and singular loci up to codimension 3
Pablo Angulo Ardoy, Luis Guijarro
We give a new and detailed description of the structure of cut loci, with direct applications to the singular sets of some Hamilton-Jacobi equations. These sets may be non-triangul…