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 2023 · math.APShow all

2 papers · 2 filters

math.AP2023

A systematic approach on the second order regularity of solutions to the general parabolic $p$ -Laplace equation

Yawen Feng, Mikko Parviainen, Saara Sarsa

We study a general form of a degenerate or singular parabolic equation $u_{t} - ∣ D u ∣^{γ} (Δ u + (p - 2) Δ_{\infty}^{N} u) = 0$ that generalizes both the standard parabolic $p$ -Laplace equa…

math.AP2023

A bridge between convexity and quasiconvexity

Pablo Blanc, Mikko Parviainen, Julio Rossi

We introduce a notion of convexity with respect to a one-dimensional operator and with this notion find a one-parameter family of different convexities that interpolates between cl…

A systematic approach on the second order regularity of solutions to the general parabolic p-Laplace equation

A bridge between convexity and quasiconvexity

A systematic approach on the second order regularity of solutions to the general parabolic $p$ -Laplace equation