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 2016 · math.APShow all

4 papers · 2 filters

math.AP2016★ 1 cited

Hölder regularity for the gradient of the inhomogeneous parabolic normalized $p$ -Laplacian

Amal Attouchi, Mikko Parviainen

In this paper we study an evolution equation involving the normalized $p$ -Laplacian and a bounded continuous source term. The normalized $p$ -Laplacian is in non divergence form and…

math.AP2016★ 31 cited

Tug-of-war games with varying probabilities and the normalized $p (x)$ -Laplacian

Ángel Arroyo, Joonas Heino, Mikko Parviainen

We study a tug-of-war game with varying probabilities. In particular, we show that the value of the game is locally asymptotically Hölder continuous. We also show the existence and…

math.AP2016★ 2 cited

Gradient walk and $p$ -harmonic functions

Hannes Luiro, Mikko Parviainen

We consider a class of stochastic processes and establish its connection to $p$ -harmonic functions. In particular, we obtain stochastic approximations that converge uniformly to a…

math.AP2016

$C^{1, α}$ regularity for the normalized $p$ -Poisson problem

Amal Attouchi, Mikko Parviainen, Eero Ruosteenoja

We consider the normalized $p$ -Poisson problem $- Δ_{p}^{N} u = f in Ω.$ The normalized $p$ -Laplacian $Δ_{p}^{N} u := ∣ D u ∣^{2 - p} Δ_{p} u$ is in non-divergence form and arise…

Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian

Tug-of-war games with varying probabilities and the normalized p(x)-Laplacian

Gradient walk and p-harmonic functions

C1,α regularity for the normalized p-Poisson problem

Hölder regularity for the gradient of the inhomogeneous parabolic normalized $p$ -Laplacian

Tug-of-war games with varying probabilities and the normalized $p (x)$ -Laplacian

Gradient walk and $p$ -harmonic functions

$C^{1, α}$ regularity for the normalized $p$ -Poisson problem