Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

The Aronson-Bénilan Estimate in Lebesgue Spaces

Abstract : In a celebrated three-pages long paper in 1979, Aronson and Bénilan 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 Bénilan estimate in L p spaces, of some modifications and improvements, as well as to show certain limitations of their strategy.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [65 references]  Display  Hide  Download
Contributor : Markus Schmidtchen Connect in order to contact the contributor
Submitted on : Thursday, July 30, 2020 - 9:29:53 AM
Last modification on : Wednesday, June 8, 2022 - 12:50:08 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 7:43:02 PM


Files produced by the author(s)


  • HAL Id : hal-02909140, version 1


Giulia Bevilacqua, Benoît Perthame, Markus Schmidtchen. The Aronson-Bénilan Estimate in Lebesgue Spaces. 2020. ⟨hal-02909140⟩



Record views


Files downloads