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 2021 · math.APShow all

3 papers · 2 filters

math.AP2021

Game-theoretic approach to Hölder regularity for PDEs involving eigenvalues of the Hessian

Pablo Blanc, Jeongmin Han, Mikko Parviainen +1

We prove a local Hölder estimate with an exponent $0 < δ < \frac{1}{2}$ for solutions of the dynamic programming principle $$u^\varepsilon (x) =\sum_{j=1}^n α_j\inf_{\dim(S)=j}\sup_{\subs…

math.AP2021★ 1 cited

On the second order regularity of solutions to the parabolic $p$ -Laplace equation

Yawen Feng, Mikko Parviainen, Saara Sarsa

In this paper, we study the second order Sobolev regularity of solutions to the parabolic $p$ -Laplace equation. For any $p$ -parabolic function $u$ , we show that $D(|Du|^{\frac{p-2+…

math.AP2021

Hölder regularity for stochastic processes with bounded and measurable increments

Ángel Arroyo, Pablo Blanc, Mikko Parviainen

We obtain an asymptotic Hölder estimate for expectations of a quite general class of discrete stochastic processes. Such expectations can also be described as solutions to a dynami…

Game-theoretic approach to Hölder regularity for PDEs involving eigenvalues of the Hessian

On the second order regularity of solutions to the parabolic p-Laplace equation

Hölder regularity for stochastic processes with bounded and measurable increments

On the second order regularity of solutions to the parabolic $p$ -Laplace equation