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arXiv · 2508.08716

Trudinger's Parabolic Equation

Peter Lindqvist·Mikko Parviainen·Saara Sarsa
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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.

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Peter Lindqvist, Mikko Parviainen, Saara Sarsa. 2025-08-12. Trudinger's Parabolic Equation. https://arxiv.org/abs/2508.08716

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