4 papers · 1 filter
Global quadratic estimates for degenerate elliptic operators on cylinders
Gianmarco Brocchi, Andreas Rosén
On -dimensional cylinders , with a closed manifold as base and large scale dimension , we prove quadratic estimates in weighted…
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…
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…
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…