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.
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Acknowledgements
The work of the first author on this paper was supported by the Department of Mathematics at the University of Padua, during his research visits there. The work of the second author was supported by the DAAD during his stay at the Fraunhofer ITWM and by the ‘Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni’ (GNAMPA) of the ‘Istituto Nazionale di Alta Matematica’ (INdAM).
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Mikhailov, S.E., Musolino, P., Orlik, J. (2019). Rescaling and Trace Operators in Fractional Sobolev Spaces on Bounded Lipschitz Domains with Periodic Structure. In: Constanda, C., Harris, P. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16077-7_19
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DOI: https://doi.org/10.1007/978-3-030-16077-7_19
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