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An estimate for the solutions of stokes equations in exterior domains (1994)

Maremonti, P. ; Solonnikov, V. A.

Springer

Journal of mathematical sciences 68 (1994), S. 229-239

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ISSN: 1573-8795

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A boundary value problem for the Stokes equations is examined in an exterior domain Ω ⊂ℝ n with a uniform Dirichlet condition on the boundary and a homogeneous condition at infinity. It is shown that estimating the norm L p(Ω) of the second derivatives of the velocity vector field by the same norm of the exterior forces vector field is correct for p 〈 n/2, but not for p ≥ n/2. This estimate is valid also for p ≥ n/2 if the boundary conditions are modified at infinity.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01249337

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