Supercaloric functions for the porous medium equation

Research output: Contribution to journalArticle


Research units

  • Norwegian University of Science and Technology
  • University of Jyväskylä


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
Issue number1
Early online date2018
Publication statusPublished - Mar 2019
MoE publication typeA1 Journal article-refereed

    Research areas

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

ID: 18027745