A Note on the Dirichlet Problem for the Stokes System in Lipschitz Domains
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Publication:4327659
DOI10.2307/2160804zbMath0816.35106OpenAlexW4250074304MaRDI QIDQ4327659
Publication date: 10 April 1995
Full work available at URL: https://doi.org/10.2307/2160804
Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Applications of functional analysis to differential and integral equations (46N20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary value problems for the systems of elastostatics in Lipschitz domains
- Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
- Area integral estimates for higher order elliptic equations and systems
- The Dirichlet problem for the Stokes system on Lipschitz domains
- The inhomogeneous Dirichlet problem in Lipschitz domains
- On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points
- The Dirichlet Problem in L p for the Biharmonic Equation on Lipschitz Domains