Pith. sign in

REVIEW

The Aronson-B\'enilan Estimate in Lebesgue Spaces

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2007.15267 v1 pith:X2RHJGES submitted 2020-07-30 math.AP

The Aronson-B\'enilan Estimate in Lebesgue Spaces

Giulia Bevilacqua , Beno\^it Perthame , Markus Schmidtchen This is my paper
classification math.AP
keywords enilanestimateflowaronsonporousspaceswellapplications
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

In a celebrated three-pages long paper in 1979, Aronson and B\'enilan obtained a remarkable estimate on second order derivatives for the solution of the porous media equation. Since its publication, the theory of porous medium flow has expanded relentlessly with applications including thermodynamics, gas flow, ground water flow as well as ecological population dynamics. The purpose of this paper is to clarify the use of recent extensions of the Aronson and B\'enilan estimate in Lp spaces, of some modifications and improvements, as well as to show certain limitations of their strategy.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.