Large $|k|$ behavior of d-bar problems for domains with a smooth boundary
Analysis of PDEs
2020-10-12 v1
Abstract
In a previous work on the large behavior of complex geometric optics solutions to a system of d-bar equations, we treated in detail the situation when a certain potential is the characteristic function of a strictly convex set with real-analytic boundary. We here extend the results to the case of sets with smooth boundary, by using almost holomorphic functions.
Keywords
Cite
@article{arxiv.2010.04423,
title = {Large $|k|$ behavior of d-bar problems for domains with a smooth boundary},
author = {C. Klein and Johannes Sjöstrand and N. Stoilov},
journal= {arXiv preprint arXiv:2010.04423},
year = {2020}
}