14 citations · 41 across the 22 of their papers we have counts for
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math.AP2016
Special cases of the planar least gradient problem
Wojciech Górny, Piotr Rybka, Ahmad Sabra
We study two special cases of the planar least gradient problem. In the first one, the boundary conditions are imposed on a part of the strictly convex domain. In the second case,…
math.AP2016★ 4 cited
Weak solutions of fractional differential equations in non cylindrical domain
Adam Kubica, Piotr Rybka, Katarzyna Ryszewska
We study a time fractional heat equation in a noncylindrical domain. The problem is one-dimensional. We prove existence of properly defined weak solutions by means of the Galerkin…
math.AP2016★ 1 cited
Energy solutions to one-dimensional singular parabolic problems with data are viscosity solutions
Atsushi Nakayasu, Piotr Rybka
We study one-dimensional very singular parabolic equations with periodic boundary conditions and initial data in , which is the energy space. We show existence of solutions in…