Differential and Integral Equations

A weak Harnack estimate for supersolutions to the porous medium equation

Pekka Lehtelä

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Abstract

In this work, we prove a weak Harnack estimate for the weak supersolutions to the porous medium equation. The proof is based on a priori estimates for the supersolutions and measure theoretical arguments.

Article information

Source
Differential Integral Equations, Volume 30, Number 11/12 (2017), 879-916.

Dates
First available in Project Euclid: 1 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1504231278

Mathematical Reviews number (MathSciNet)
MR3693990

Zentralblatt MATH identifier
06819583

Subjects
Primary: 35K65: Degenerate parabolic equations 35B45: A priori estimates 35K10: Second-order parabolic equations

Citation

Lehtelä, Pekka. A weak Harnack estimate for supersolutions to the porous medium equation. Differential Integral Equations 30 (2017), no. 11/12, 879--916. https://projecteuclid.org/euclid.die/1504231278


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