Very weak solutions to the stationary Stokes and Stokes resolvent problem in weighted function spaces
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Publication:1042572
DOI10.1007/s11565-008-0038-0zbMath1179.35225OpenAlexW2067319710MaRDI QIDQ1042572
Publication date: 14 December 2009
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-008-0038-0
Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)
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Cites Work
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- A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\)
- Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
- The Stokes operator in weighted \(L^q\)-spaces. I: Weighted estimates for the Stokes resolvent problem in a half space
- Elliptic partial differential equations of second order
- The Stokes operator in weighted \(L^q\)-spaces. II: Weighted resolvent estimates and maximal \(L^p\)-regularity
- Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\)
- A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data
- Solutions of the Navier-Stokes initial value problem in weightedLq-spaces
- A chart preserving the normal vector and extensions of normal derivatives in weighted function spaces
- Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
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