Supercaloric functions for the porous medium equation

Juha Kinnunen, Pekka Lehtelä, Peter Lindqvist, Mikko Parviainen

Research output: Contribution to journalArticle

Abstract

In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not. This criterion and its consequences are discussed.
Original languageEnglish
Pages (from-to)249–270
Number of pages21
JournalJournal of Evolution Equations
Volume19
Issue number1
Early online date2018
DOIs
Publication statusPublished - Mar 2019
MoE publication typeA1 Journal article-refereed

Keywords

  • Porous medium equation
  • Supercaloric functions
  • Barenblatt solution
  • Friendly giant

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