Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in \(L^p\) spaces on Lipschitz domains

DOI10.4171/rmi/1041zbMath1414.35072arXiv1608.01797OpenAlexW2963729927MaRDI QIDQ1725564

Sylvie Monniaux, Alan G. R. McIntosh

Publication date: 14 February 2019

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01797

zbMATH Keywords

Lipschitz domainsHodge-Dirac operatorHodge-LaplacianHodge-Stokes operatorPotential operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) First-order elliptic systems (35J46) Harmonic analysis and PDEs (42B37)

Related Items

The Stokes resolvent problem: optimal pressure estimates and remarks on resolvent estimates in convex domains, First Order Approach to $$L^p$$ L p Estimates for the Stokes Operator on Lipschitz Domains, Stochastic maximal regularity for rough time-dependent problems, Existence in critical spaces for the magnetohydrodynamical system in 3D bounded Lipschitz domains, First-Kind Boundary Integral Equations for the Dirac Operator in 3-Dimensional Lipschitz Domains

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