Shadows of infinities

Tuomo Kuusi, Peter Lindqvist, Mikko Parviainen*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

We study unbounded “supersolutions” of the Evolutionary p-Laplace equation with slow diffusion. They are the same functions as the viscosity supersolutions. A fascinating dichotomy prevails: either they are locally summable to the power p-1+np-0 or not summable to the power p- 2 + 0.

Original languageEnglish
Pages (from-to)1185-1206
Number of pages22
JournalAnnali di Matematica Pura ed Applicata
Volume195
Issue number4
DOIs
Publication statusPublished - 1 Aug 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Friendly giant
  • Integrability
  • p-superparabolic functions
  • Quasilinear parabolic equation
  • Summability
  • Unbounded supersolutions
  • Viscosity supersolutions

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