PreprintCC BY 4.0arXiv
Sharp Convergence Rate for stationary states of the Porous Medium Equation
Abstract
In this paper we prove the sharp rate of convergence for stationary states of the porous medium equation with an external drift in the p-Wasserstein metric under very mild assumptions on the potential and for any 1≤ p≤ +∞.
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BibTeX
@misc{pinheiro2026sharp,
title = {{Sharp Convergence Rate for stationary states of the Porous Medium Equation}},
author = {Igor Pinheiro and Filippo Santambrogio},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19086},
eprint = {2610.19086},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19086},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Sharp Convergence Rate for stationary states of the Porous Medium Equation
AU - Igor Pinheiro
AU - Filippo Santambrogio
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.19086
UR - https://arxiv.org/abs/2610.19086
AB - In this paper we prove the sharp rate of convergence for stationary states of the porous medium equation with an external drift in the p-Wasserstein metric under very mild assumptions on the potential and for any 1≤ p≤ +∞.
ER -