Energy estimates for variational minimizers of a parabolic doubly nonlinear equation on metric measure spaces

Per Anders Ivert; Niko Marola; Mathias Masson

doi:10.5186/aasfm.2014.3936

Energy estimates for variational minimizers of a parabolic doubly nonlinear equation on metric measure spaces

Per Anders Ivert
, Niko Marola
, Mathias Masson

Department of Mathematics and Systems Analysis

University of Helsinki

Research output: Contribution to journal › Article › Scientific › peer-review

6 Citations (Scopus)

Abstract

In this paper a variational approach is taken to study a doubly nonlinear parabolic equation. We consider energy estimates for parabolic minimizers related to this equation. These energy estimates play a fundamental role in obtaining Harnack estimates. Our treatment is done in general metric measure spaces with a doubling measure and a Poincaré inequality.

Original language	English
Pages (from-to)	711-719
Number of pages	9
Journal	Annales Academiae Scientiarum Fennicae. Mathematica
Volume	39
Issue number	1
DOIs	https://doi.org/10.5186/aasfm.2014.3936
Publication status	Published - 2014
MoE publication type	A1 Journal article-refereed

Keywords

Doubling measure
Energy estimates
Harnack inequality
Parabolic minimizer
Poincaré inequality
Subminimizer
Superminimizer

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abstract = "In this paper a variational approach is taken to study a doubly nonlinear parabolic equation. We consider energy estimates for parabolic minimizers related to this equation. These energy estimates play a fundamental role in obtaining Harnack estimates. Our treatment is done in general metric measure spaces with a doubling measure and a Poincar{\'e} inequality.",

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AU - Masson, Mathias

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KW - Energy estimates

KW - Harnack inequality

KW - Parabolic minimizer

KW - Poincaré inequality

KW - Subminimizer

KW - Superminimizer

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Energy estimates for variational minimizers of a parabolic doubly nonlinear equation on metric measure spaces

Abstract

Keywords

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