cylindrical manifolds 1degenerate elliptic operators 1kato square root problem 1perturbed dirac operators 1quadratic estimates 1weighted sobolev spaces 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AP2026
Global quadratic estimates for degenerate elliptic operators on cylinders
Gianmarco Brocchi, Andreas Rosén, 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.AP2025
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…