Isotropically and Anisotropically Weighted Sobolev Spaces for the Oseen Equation

نویسندگان

  • Chérif Amrouche
  • Ulrich Razafison
  • Giovanni Paolo Galdi
چکیده

This contribution is devoted to the Oseen equations, a linearized form of the Navier-Stokes equations. We give here some results concerning the scalar Oseen operator and we prove Hardy inequalities concerning functions in Sobolev spaces with anisotropic weights that appear in the investigation of the Oseen equations. Mathematics Subject Classification (2000). 76D05, 35Q30, 26D15, 46D35.

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تاریخ انتشار 2008