A weak Harnack estimate for supersolutions to the porous medium equation.

zbMath1413.35266arXiv1607.00785MaRDI QIDQ1686823

Pekka Lehtelä

Publication date: 15 December 2017

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00785

zbMATH Keywords

Caccioppoli estimateexpansion of positivityessentially bounded functionweak supersolutionsweak Harnack estimate

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10)

Related Items (5)

Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior ⋮ Weak Harnack estimates for supersolutions to doubly degenerate parabolic equations ⋮ Supercaloric functions for the porous medium equation ⋮ Lower semicontinuous obstacles for the porous medium equation ⋮ Local bounds of the gradient of weak solutions to the porous medium equation

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