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Rescaling and Trace Operators in Fractional Sobolev Spaces on Bounded Lipschitz Domains with Periodic Structure

In: Integral Methods in Science and Engineering

Author

Listed:
  • Sergey E. Mikhailov

    (Brunel University London)

  • Paolo Musolino

    (University of Padua)

  • Julia Orlik

    (Fraunhofer ITWM)

Abstract

This paper presents rescaling of the trace operator acting on functions from fractional Sobolev type spaces and also some related results on rescaling the Bessel potential, Riesz potential, and Sobolev–Slobodetskii spaces on bounded Lipschitz domains with periodic structure.

Suggested Citation

  • Sergey E. Mikhailov & Paolo Musolino & Julia Orlik, 2019. "Rescaling and Trace Operators in Fractional Sobolev Spaces on Bounded Lipschitz Domains with Periodic Structure," Springer Books, in: Christian Constanda & Paul Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 237-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-16077-7_19
    DOI: 10.1007/978-3-030-16077-7_19
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