On the stokes operator in general unbounded domains
نویسندگان
چکیده
منابع مشابه
Estimates for the Stokes Operator in Lipschitz Domains
We study the Stokes operator A in a threedimensional Lipschitz domain Ω. Our main result asserts that the domain of A is contained in W 1,p 0 (Ω)∩W (Ω) for some p > 3. Certain L∞-estimates are also established. Our results may be used to improve the regularity of strong solutions of Navier-Stokes equations in nonsmooth domains. In the appendix we provide a simple proof of area integral estimate...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2009
ISSN: 0385-4035
DOI: 10.14492/hokmj/1248787007