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The trace to the boundary of Sobolev spaces on a snowflake

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Abstract

The trace to the boundary is defined for functions in a Sobolev space in a domain with fractal boundary, for instance von Koch's snowflake domain. The image and the kernel of the trace operator are characterized.

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  1. Department of Mathematics, University of Ume», S-901 87, Ume», Sweden

    Hans Wallin

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  1. Hans Wallin
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Partially supported by the Swedish Natural Science Research Council

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Wallin, H. The trace to the boundary of Sobolev spaces on a snowflake. Manuscripta Math 73, 117–125 (1991). https://doi.org/10.1007/BF02567633

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  • DOI: https://doi.org/10.1007/BF02567633

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