The second chapter is devoted to a few basic notions and results that are needed throughout the book, including: Lipschitz domains, non-tangential maximal and limit operators, Sobolev, Bessel potential, and Besov spaces on \(\mathbb R^{n}\) , the (Gagliardo) boundary traces, and various types of conormal derivatives. We also introduce the Brinkman system.

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Preliminaries

  • Mirela Kohr,
  • Sergey E. Mikhailov,
  • Victor Nistor,
  • Wolfgang L. Wendland

摘要

The second chapter is devoted to a few basic notions and results that are needed throughout the book, including: Lipschitz domains, non-tangential maximal and limit operators, Sobolev, Bessel potential, and Besov spaces on \(\mathbb R^{n}\) , the (Gagliardo) boundary traces, and various types of conormal derivatives. We also introduce the Brinkman system.