On Friedrichs Constant and Horgan-payne Angle for Lbb Condition

نویسندگان

  • Monique Dauge
  • Christine Bernardi
  • Martin Costabel
  • Vivette Girault
چکیده

Abstract. In dimension 2, the Horgan-Payne angle serves to construct a lower bound for the inf-sup constant of the divergence arising in the so-called LBB condition. This lower bound is equivalent to an upper bound for the Friedrichs constant. Explicit upper bounds for the latter constant can be found using a polar parametrization of the boundary. Revisiting carefully the original paper which establishes this strategy, we found out that some proofs need clarification, and some statements, replacement.

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تاریخ انتشار 2013