PreprintCC BY 4.0arXiv
Radiation Conditions and Uniqueness Theorems for Open Wave-guide Networks
Abstract
We state radiation conditions and prove a variety of uniqueness theorem for models of wave-guide networks, including acoustic wave-guide networks, and electromagnetic wave-guide networks described by the time harmonic Maxwell equations. To analyze Maxwell wave-guide networks we need to establish generalizations of the Mourre estimates from [29, 32].
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BibTeX
@misc{epstein2026radiation,
title = {{Radiation Conditions and Uniqueness Theorems for Open Wave-guide Networks}},
author = {Charles L. Epstein and Rafe Mazzeo and Solomon Quinn and Andras Vasy},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20891},
eprint = {2610.20891},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20891},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Radiation Conditions and Uniqueness Theorems for Open Wave-guide Networks
AU - Charles L. Epstein
AU - Rafe Mazzeo
AU - Solomon Quinn
AU - Andras Vasy
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20891
UR - https://arxiv.org/abs/2610.20891
AB - We state radiation conditions and prove a variety of uniqueness theorem for models of wave-guide networks, including acoustic wave-guide networks, and electromagnetic wave-guide networks described by the time harmonic Maxwell equations. To analyze Maxwell wave-guide networks we need to establish generalizations of the Mourre estimates from [29, 32].
ER -