On the Semigroup of the Stokes Operator for Exterior Domains in Lq-Spaces.
Hermann Sohr, Wolfgang Borchers (1987)
Mathematische Zeitschrift
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Hermann Sohr, Wolfgang Borchers (1987)
Mathematische Zeitschrift
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Hideo Kozono, Takayoshi Ogawa (1993)
Mathematische Annalen
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Rodolfo Salvi (1988)
Mathematische Zeitschrift
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Hideo Kozono, Takayoshi Ogawa (1994)
Mathematische Zeitschrift
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Peer Christian Kunstmann (2010)
Czechoslovak Mathematical Journal
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We consider the Navier-Stokes equations in unbounded domains of uniform -type. We construct mild solutions for initial values in certain extrapolation spaces associated to the Stokes operator on these domains. Here we rely on recent results due to Farwig, Kozono and Sohr, the fact that the Stokes operator has a bounded -calculus on such domains, and use a general form of Kato’s method. We also obtain information on the corresponding pressure term.
Klaus Deckelnick (1992)
Mathematische Zeitschrift
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S.A. Nazarov, A. Novotny, K. Pileckas (1996)
Mathematische Annalen
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Yoshikazu Giga (1981)
Mathematische Zeitschrift
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