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

Sergey E. Mikhailov (), Paolo Musolino () and Julia Orlik ()
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Sergey E. Mikhailov: Brunel University London
Paolo Musolino: University of Padua
Julia Orlik: Fraunhofer ITWM

Chapter Chapter 19 in Integral Methods in Science and Engineering, 2019, pp 237-251 from Springer

Abstract: 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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-16077-7_19

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DOI: 10.1007/978-3-030-16077-7_19

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