From the 1 of 4 linked papers with an AI index.
4 papers · 1 filter
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…
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 on a bounded, locally uniform domain , for accr…
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…
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 condition…