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arXiv · 2610.09905

Nonnegative Viscosity and Weak Solutions to Trudinger's Parabolic Equation

Peter Lindqvist·Mikko Parviainen·Jarkko Siltakoski
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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.

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Peter Lindqvist, Mikko Parviainen, Jarkko Siltakoski. 2026-10-07. Nonnegative Viscosity and Weak Solutions to Trudinger's Parabolic Equation. https://arxiv.org/abs/2610.09905

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