Work

Nonnegative Viscosity and Weak Solutions to Trudinger's Parabolic Equation

Year: 2026

Type: preprint

Abstract: We study the relation between viscosity solutions and weak solutions of the equation $$\partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u).$$ We prove that at least for non-negative functions these are equivalent concepts.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.09905

Authors: Lindqvist, Peter, Parviainen, Mikko, Siltakoski, Jarkko

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220994424

Cites: 1

Cited by: 1

Related to: 10