M. Parviainen

activity

20102026

most citedTug-of-war games with varying probabilities and the normalized

p (x)

-Laplacian

31 citations · 103 across the 32 of their papers we have counts for

collaborators

Showing 2026Show all

4 papers · 1 filter

math.AP2026

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 $\partial_{t} (∣ u ∣^{p - 2} u) = div (∣\nabla u ∣^{p - 2} \nabla u) .$ We pro…

math.AP2026

Regularity of soda-can domains for the $p$ -parabolic equation

Benny Avelin, Mikko Parviainen

We classify the regularity of the origin for the $p$ -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…

math.AP2026

A counterexample to the pointwise validity of an asymptotic mean value property for $p$ -harmonic functions

Ángel Arroyo, Jeff Calder, Mikko Parviainen

We give a counterexample showing that an asymptotic mean value property for $p$ -harmonic functions in $R^{d}$ does not necessarily hold in the pointwise sense for $d \geq 3$ a…

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 $C^{2}$ Dirichlet boundary data.

Nonnegative Viscosity and Weak Solutions to Trudinger's Parabolic Equation

Regularity of soda-can domains for the p-parabolic equation

A counterexample to the pointwise validity of an asymptotic mean value property for p-harmonic functions

Uniqueness of sign-changing solutions to Trudinger's equation

Regularity of soda-can domains for the $p$ -parabolic equation

A counterexample to the pointwise validity of an asymptotic mean value property for $p$ -harmonic functions