Year: 2026
Type: preprint
Abstract: We show that root convexity of the pressure is preserved by the porous medium equation if the initial data is root convex, positive, smooth, bounded below by a quadratic function and has bounded Laplacian. This complements a result of Daskalopoulos-Hamilton-Lee on root concavity of pressure.
Source: arXiv (Cornell University)
Author: Yu, Ning
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223373113