On the linearized local Calderon problem
Analysis of PDEs
2009-05-06 v1 Functional Analysis
Abstract
In this article, we investigate a density problem coming from the linearization of Calder\'on's problem with partial data. More precisely, we prove that the set of products of harmonic functions on a bounded smooth domain vanishing on any fixed closed proper subset of the boundary are dense in in all dimensions . This is proved using ideas coming from the proof of Kashiwara's Watermelon theorem.
Cite
@article{arxiv.0905.0530,
title = {On the linearized local Calderon problem},
author = {D. Dos Santos Ferreira and C. E. Kenig and J. Sjoestrand and G. Uhlmann},
journal= {arXiv preprint arXiv:0905.0530},
year = {2009}
}