Trudinger's parabolic equation

Discrete and Continuous Dynamical Systems 2026 Open access

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Authors: Peter Lindqvist, Mikko Parviainen, Saara Sarsa
DOI: 10.3934/dcds.2026094
Cited by: 0

Abstract

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

Fields of Study & Subjects

Nonlinear Partial Differential Equations Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis

Publication details

Journal / source
Discrete and Continuous Dynamical Systems
Volume
55
Issue
0
Pages
468–483
Publication date
1 January 2026
Language
EN