P. Rybka

activity

20082025

most citedA caricature of a singular curvature flow in the plane

14 citations · 41 across the 22 of their papers we have counts for

collaborators

Showing 2017 · math.APShow all

3 papers · 2 filters

math.AP2017★ 5 cited

The planar Least Gradient problem in convex domains

Piotr Rybka, Ahmad Sabra

We study the two dimensional least gradient problem in a convex, but not necessary strictly convex region. We look for solutions in the space of $B V$ functions satisfying the bound…

math.AP2017★ 1 cited

A duality based approach to the minimizing total variation flow in the space $H^{- s}$

Yoshikazu Giga, Monika Muszkieta, Piotr Rybka

We consider a gradient flow of the total variation in a negative Sobolev space $H^{- s}$ $(0 \leq s \leq 1)$ under the periodic boundary condition. If $s = 0$ , the flow is nothing but…

math.AP2017★ 1 cited

Integrability of the derivative of solutions to a singular one-dimensional parabolic problem

Atsushi Nakayasu, Piotr Rybka

We study integrability of the derivative of solutions to a singular one-dimensional parabolic equation with initial data in $W^{1, 1}$ . In order to avoid additional difficulties we…

The planar Least Gradient problem in convex domains

A duality based approach to the minimizing total variation flow in the space H−s

Integrability of the derivative of solutions to a singular one-dimensional parabolic problem

A duality based approach to the minimizing total variation flow in the space $H^{- s}$