Andreas Rosén

works on

cylindrical manifolds 1 degenerate elliptic operators 1 kato square root problem 1 perturbed dirac operators 1 quadratic estimates 1 weighted sobolev spaces 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.AP2026

Global quadratic estimates for degenerate elliptic operators on cylinders

Gianmarco Brocchi, Andreas RosÃ©n, Andreas Rosén

The paper establishes quadratic estimates for perturbed Dirac operators on cylindrical manifolds with weighted L² spaces, leading to Kato square‑root estimates for degenerate ellip…

math.NA2026

The Whitney method of fundamental solutions with Lusin wavelets

Jakob Jonsson, Andreas RosÃ©n, Emil Timlin

We establish the theoretical foundation for a variant of the method of fundamental solutions (MFS), where the source points ${q_{j}}_{j = 1}^{\infty}$ accumulate towards the domain in…

math.AP2026

The Kato square root estimate with Robin boundary conditions

We prove the Kato square root estimate for second-order divergence form elliptic operators $- d i v (A \nabla)$ on a bounded, locally uniform domain $D \subseteq R^{n}$ , for accr…

math.AP2025

The metric for matrix degenerate Kato square root operators

We prove a Kato square root estimate with anisotropically degenerate matrix coefficients. We do so by doing the harmonic analysis using an auxiliary Riemannian metric adapted to th…