Uniqueness of sign-changing solutions to Trudinger's equation

We establish uniqueness for sign-changing solutions to Trudinger's parabolic equation with time dependent $C^2$ Dirichlet boundary data.

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Publication Details

Journal
Journal of Differential Equations
Published
2026-09-30
DOI
https://doi.org/10.1016/j.jde.2026.114809
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Uniqueness of sign-changing solutions to Trudinger's equation

Mikko Parviainen, Riku Anttila, Peter Lindqvist
Journal of Differential Equations
Nonlinear Partial Differential Equations
article

Uniqueness of sign-changing solutions to Trudinger's equation

Mikko Parviainen, Riku Anttila, Peter Lindqvist
article en

Abstract

We establish uniqueness for sign-changing solutions to Trudinger's parabolic equation with time dependent $C^2$ Dirichlet boundary data.

Journal of Differential EquationsVol. 484
Openalex Percentile: Top 86%
Nonlinear Partial Differential Equations
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Uniqueness of sign-changing solutions to Trudinger's equation — Mikko Parviainen, Riku Anttila, et al. · Journal of Differential Equations (2026) | TGRS Research Map | TGRS