Shadows of infinities

Tuomo Kuusi; Peter Lindqvist; Mikko Parviainen

doi:10.1007/s10231-015-0511-1

Shadows of infinities

Tuomo Kuusi, Peter Lindqvist, Mikko Parviainen^*

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	1185-1206
Number of pages	22
Journal	Annali di Matematica Pura ed Applicata
Volume	195
Issue number	4
DOIs	https://doi.org/10.1007/s10231-015-0511-1
Publication status	Published - 1 Aug 2016
MoE publication type	A1 Journal article-refereed

Keywords

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

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10.1007/s10231-015-0511-1

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AB - 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.

KW - Friendly giant

KW - Integrability

KW - p-superparabolic functions

KW - Quasilinear parabolic equation

KW - Summability

KW - Unbounded supersolutions

KW - Viscosity supersolutions

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