Trudinger's parabolic equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2026Embargo end date: 01 Aug 2025Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems, volume 55, pages 468-483 (issn: 1078-0947, eissn: 1553-5231,

Copyright policy )

Authors: Lindqvist, Peter; Parviainen, Mikko; Sarsa, Saara;

doi: 10.3934/dcds.2026094 , 10.48550/arxiv.2508.08716

arXiv: 2508.08716

Trudinger's parabolic equation

- Summary
- Subjects
- Metrics

Abstract

We study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} Basic estimates are derived with the Galerkin Method.

Related Organizations

University of Jyväskylä
Finland

Keywords

Analysis of PDEs, FOS: Mathematics, 35A02, 35K65, 35K55, Analysis of PDEs (math.AP)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average