Sven Jarohs

activity

20132026

most citedOn the maximum principle for higher-order fractional Laplacians

27 citations · 60 across the 24 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

Differentiability of the nonlocal-to-local transition in fractional Poisson problems

Alberto Saldaña, Sven Jarohs, Tobias Weth

Let $u_{s}$ denote a solution of the fractional Poisson problem $(- Δ)^{s} u_{s} = f in Ω, u_{s} = 0 on R^{N} ∖ Ω,$ where $N \geq 2$ and $Ω\sub…

math.AP2023

Continuity of solutions to equations with weakly singular nonlocal operators

Sven Jarohs, Moritz Kassmann, Tobias Weth

We prove boundedness and regularity estimates for weak solutions to a class of linear nonlocal equations involving integro-differential operators with almost no order of differenti…

math.NA2023

FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation

Víctor Hernández-Santamaría, Sven Jarohs, Alberto Saldaña +1

We present the numerical analysis of a finite element method (FEM) for one-dimensional Dirichlet problems involving the logarithmic Laplacian (the pseudo-differential operator that…