PreprintCC BY 4.0arXiv
Monotonicity Property of Non-Archimedean Heat Equation
Abstract
We prove the monotone dependence of the heat kernel corresponding to the Vladimirov-Taibleson non-Archimedean fractional differentiation operator Dα on the order α.
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BibTeX
@misc{antoniouk2026monotonicity,
title = {{Monotonicity Property of Non-Archimedean Heat Equation}},
author = {Alexandra V. Antoniouk and Anatoly N. Kochubei},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.20567},
eprint = {2606.20567},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.20567},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Monotonicity Property of Non-Archimedean Heat Equation
AU - Alexandra V. Antoniouk
AU - Anatoly N. Kochubei
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2606.20567
UR - https://arxiv.org/abs/2606.20567
AB - We prove the monotone dependence of the heat kernel corresponding to the Vladimirov-Taibleson non-Archimedean fractional differentiation operator D^α on the order α.
ER -