PreprintCC BY 4.0arXiv
Integral Harnack inequality and expansion of positivity for fractional porous medium equation
Abstract
We establish an integral Harnack inequality and expansion of positivity for solutions to fractional porous medium-type equations in the fast diffusion regime, under optimal tail assumptions.
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BibTeX
@misc{cassanello2026integral,
title = {{Integral Harnack inequality and expansion of positivity for fractional porous medium equation}},
author = {Filippo Maria Cassanello and Filomena De Filippis and Calvin Stanko},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.18809},
eprint = {2609.18809},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18809},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Integral Harnack inequality and expansion of positivity for fractional porous medium equation
AU - Filippo Maria Cassanello
AU - Filomena De Filippis
AU - Calvin Stanko
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2609.18809
UR - https://arxiv.org/abs/2609.18809
AB - We establish an integral Harnack inequality and expansion of positivity for solutions to fractional porous medium-type equations in the fast diffusion regime, under optimal tail assumptions.
ER -