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New regularity results for a generic model equation in exterior 3D domains

Tom 70 / 2005

Stanislav Kračmar, Patrick Penel Banach Center Publications 70 (2005), 139-155 MSC: 35B40, 35D10, 35J20. DOI: 10.4064/bc70-0-9

Streszczenie

We consider a generic scalar model for the Oseen equations in an exterior three-dimensional domain. We assume the case of a non-constant coefficient function. Using a variational approach we prove new regularity properties of a weak solution whose existence and uniqueness in anisotropically weighted Sobolev spaces were proved in \cite{KrPe}. Because we use some facts and technical tools proved in the above mentioned paper, we give also a brief review of its results and methods.

Autorzy

  • Stanislav KračmarCzech Technical University
    Faculty of Mech. Engineering
    Dept. of Technical Mathematics
    Karlovo nám. 13, 12135 Praha, Czech Republic
    e-mail
  • Patrick PenelUniversité de Toulon et du Var
    Department of Mathematics
    B.P.132, 83957 Toulon – La Garde, France
    e-mail

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