Increasing stability for near field from the scattering amplitude
Analysis of PDEs
2013-12-31 v1
Abstract
We obtain stability estimates (with explicit constants) for the near field from the far field of a radiating solution of the Helmholtz equation. These estimates are based on new bounds for Hankel functions and quantify increasing stability when the wave number grows.
Keywords
Cite
@article{arxiv.1312.7596,
title = {Increasing stability for near field from the scattering amplitude},
author = {Victor Isakov},
journal= {arXiv preprint arXiv:1312.7596},
year = {2013}
}