31 citations · 103 across the 32 of their papers we have counts for
46 papers
Nonnegative Viscosity and Weak Solutions to Trudinger's Parabolic Equation
Peter Lindqvist, Mikko Parviainen, Jarkko Siltakoski
We study the relation between viscosity solutions and weak solutions of the equation We pro…
Regularity of soda-can domains for the -parabolic equation
Benny Avelin, Mikko Parviainen
We classify the regularity of the origin for the -parabolic equation in the soda-can domains $$Θ_{l,θ}=\{(x,t)\in\mathbb{R}^n\times\mathbb{R}:0 < -t < θ|x|^l < θ\},\text{ where…
A counterexample to the pointwise validity of an asymptotic mean value property for -harmonic functions
Ángel Arroyo, Jeff Calder, Mikko Parviainen
We give a counterexample showing that an asymptotic mean value property for -harmonic functions in does not necessarily hold in the pointwise sense for a…
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.
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…
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…