3 papers
math.AP2026
The Fractional Korn Inequality on Uniform Domains and New Korn Inequalities for Truncated Seminorms
Gabriel Acosta, Irene Drelichman, Ricardo Durán +2
We prove the so-called second case of the fractional Korn inequality for uniform domains. We obtain this result as an application of a novel fractional Korn-type inequality formula…
math.CA2024
An interpolation result for weights with applications to fractional Poincaré inequalities
Irene Drelichman
We characterize the real interpolation space between weighted and spaces on arbitrary domains different from , when the weights are positive powers of…
math.NA2024
Stability of the Ritz projection in weighted
Irene Drelichman, Ricardo G. Duran
We prove the stability in weighted spaces for standard finite element approximations of the Poisson equation in convex polygonal or polyhedral domains, when the weight be…