First Order Approach to $$L^p$$ L p Estimates for the Stokes Operator on Lipschitz Domains

DOI10.1007/978-3-319-41945-9_3zbMath1391.35087OpenAlexW2515648411MaRDI QIDQ4609496

Sylvie Monniaux, Alan G. R. McIntosh

Publication date: 3 April 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-41945-9_3

zbMATH Keywords

Hodge-Dirac operatorbounded holomorphic functional calculusHodge boundary conditions

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Differential forms in global analysis (58A10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

\(L^p\)-analysis of the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifolds

Cites Work

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• Hardy spaces of differential forms on Riemannian manifolds
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• Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds
• Conical square function estimates and functional calculi for perturbed Hodge-Dirac operators in \(L^p\)
• Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
• Hodge decomposition. A method for solving boundary value problems
• The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains
• Stability in p of the H-infinity calculus of first-order systems in L^p
• On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds
• Holomorphic functional calculi of operators, quadratic estimates and interpolation

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