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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…