Lower semicontinuity of weak supersolutions to the porous medium equation

DOI10.1090/PROC/12727zbMath1321.35085arXiv1312.2820OpenAlexW1981185940WikidataQ109745454 ScholiaQ109745454MaRDI QIDQ5255256

Benny Avelin, Teemu Lukkari

Publication date: 12 June 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2820

zbMATH Keywords

porous medium equationlower-semicontinuitysupersolutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Partial differential inequalities and systems of partial differential inequalities (35R45)

Related Items (7)

The equivalence of weak and very weak supersolutions to the porous medium equation ⋮ Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior ⋮ Supercaloric functions for the porous medium equation ⋮ Lower semicontinuous obstacles for the porous medium equation ⋮ Perron's method for the porous medium equation ⋮ Boundary regularity for the porous medium equation ⋮ Regularity of weak solutions and supersolutions to the porous medium equation

Cites Work

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• Lower semicontinuity of weak supersolutions to nonlinear parabolic equations.
• Degenerate parabolic equations
• Degenerate diffusions. Initial value problems and local regularity theory
• Non-negative solutions of theo porous medium eqation
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Definition and properties of supersolutions to the porous medium equation

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