Article
MSC:
26D15,
35Q30,
35Q35,
76D03,
76D05 | MR 2382289 | Zbl 1177.76080 | DOI: 10.1007/s10492-008-0012-2
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Keywords:
Oseen equation; weighted Sobolev space; anisotropic weight
Oseen equation; weighted Sobolev space; anisotropic weight
Summary:
This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in $L^{p}$ theory.
References:
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