Andreas Rosén

activity

20242026

collaborators

6 papers

math.AP2026

Global quadratic estimates for degenerate elliptic operators on cylinders

Gianmarco Brocchi, Andreas Rosén

On $d$ -dimensional cylinders $C = R^{k} \times N$ , with a closed manifold $N$ as base and large scale dimension $k \in [1, d)$ , we prove quadratic estimates in weighted…

math.AP2026

The Kato square root estimate with Robin boundary conditions

Sebastian Bechtel, Andreas Rosén

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.NA2025

The Whitney method of fundamental solutions with Lusin wavelets

Jakob Jonsson, Andreas Rosén, 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.CA2024

Sharp weighted non-tangential maximal estimates via Carleson-sparse domination

Andreas Rosén

We prove sharp weighted estimates for the non-tangential maximal function of singular integrals mapping functions from $R^{n}$ to the half-space in $R^{1 + n}$ above…

math.AP2024

Coerciveness and Morrey Inequalities for Elliptic Operators with Natural Boundary Conditions via Weitzenböck Identities

Erik Duse, Andreas Rosén

We prove a Weitzenböck identity for general pairs of constant coefficient homogeneous first order partial differential operators, and deduce from it sufficient algebraic conditions…

math.AP2024

The metric for matrix degenerate Kato square root operators

Gianmarco Brocchi, Andreas Rosén

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…