Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators
From MaRDI portal
Publication:2033188
DOI10.1016/j.jmaa.2021.125246OpenAlexW3156857532MaRDI QIDQ2033188
Johnny Guzmán, Abner J. Salgado
Publication date: 14 June 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.04105
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Cites Work
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- A decomposition technique for integrable functions with applications to the divergence problem
- Some strong \((p,q)\)-type inequalities for the homotopy operator
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- Equilibrated residual error estimates are \(p\)-robust
- Integral estimates for null Lagrangians
- Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds
- Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
- The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains
- An explicit right inverse of the divergence operator which is continuous in weighted norms
- Divergence Operator and Related Inequalities
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Solutions of the divergence and Korn inequalities on domains with an external cusp
- Discrete Compactness for thep-Version of Discrete Differential Forms
- Inequalities for Differential Forms
- Finite element exterior calculus, homological techniques, and applications
- A decomposition technique for John domains
- Vector potentials in three-dimensional non-smooth domains
- Local problems on stars: A posteriori error estimators, convergence, and performance
- An elementary proof of the continuity from $L_0^2(\Omega)$ to $H^1_0(\Omega)^n$ of Bogovskii's right inverse of the divergence
- Classical Fourier Analysis
- On commuting $p$-version projection-based interpolation on tetrahedra
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Weighted imbedding theorems in the space of differential forms
