On Isomorphism for the Space of Solenoidal Vector Fields and Its Application to the Incompressible Flows

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Functional calculus for linear operators (47A60)

Cites Work

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On $L^{2}$ solvability of BVPs for elliptic systems
On domain of Poisson operators and factorization for divergence form elliptic operators
On Stokes operators with variable viscosity in bounded and unbounded domains
The Dirichlet problem in non-smooth domains
Analyticity of the semigroup generated by the Stokes operator in $L_r$ spaces
Estimates for solutions of nonstationary Navier-Stokes equations
Imaginary powers of elliptic second order differential operators in $L^ p$-spaces
$H^\infty$-calculus for the Stokes operator on $L_q$-spaces
A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
On the Stokes semigroup in some non-Helmholtz domains
The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
Weak Neumann implies $H^\infty$ for Stokes
An $L^q$-approach to Stokes and Navier-Stokes equations in general domains
Remark on the Helmholtz decomposition in domains with noncompact boundary
Darstellung der Eigenwerte von $\Delta u+\lambda u=0$ durch ein Randintegral
On Poisson operators and Dirichlet-Neumann maps in $H^s$ for divergence form elliptic operators with Lipschitz coefficients
Weak Neumann implies Stokes
A solution formula for the Stokes equation in Rn+
The Neumann problem on Lipschitz domains
The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
One-Parameter Semigroups for Linear Evolution Equations
New Bounds in Harmonic and Biharmonic Problems
$L^p$-theory of the Stokes equation in a half space

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