3 papers
math.AP2026
Trudinger's Parabolic Equation
Peter Lindqvist, Mikko Parviainen, Saara Sarsa
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*} B…
math.AP2026
Uniqueness of sign-changing solutions to Trudinger's equation
Riku Anttila, Peter Lindqvist, Mikko Parviainen
We establish uniqueness for sign-changing solutions to Trudinger's parabolic equation with time dependent Dirichlet boundary data.
math.AP2025
Lipschitz continuity and equivalence of positive viscosity and weak solutions to Trudinger's equation
Peter Lindqvist, Mikko Parviainen, Jarkko Siltakoski
We show that stricty positive viscosity supersolutions to Trudinger's equation are local weak supersolutions when . As an application, we show using the Ishii-Lions met…