Trudinger's Parabolic Equation
Analysis of PDEs
2026-05-08 v3
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.
Cite
@article{arxiv.2508.08716,
title = {Trudinger's Parabolic Equation},
author = {Peter Lindqvist and Mikko Parviainen and Saara Sarsa},
journal= {arXiv preprint arXiv:2508.08716},
year = {2026}
}