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Martin Kernel for Fractional Laplacian in Narrow Cones

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Abstract

We give a power law for the homogeneity degree of the Martin kernel at infinity of the fractional Laplacian for the right circular cone when the angle of the cone tends to zero.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Wrocław University of Technology, Wrocław, Poland

    Krzysztof Bogdan

  2. Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA

    Bartłomiej Siudeja

  3. Laboratoire de Mathématiques, Clermont Université, Université Blaise Pascal and CNRS UMR 6620, BP 80026, 63171 Aubière, France

    Andrzej Stós

Authors
  1. Krzysztof Bogdan
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  2. Bartłomiej Siudeja
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  3. Andrzej Stós
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Corresponding author

Correspondence to Bartłomiej Siudeja.

Additional information

The first two authors were partially supported by NCN grant 2012/07/B/ST1/03356

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Bogdan, K., Siudeja, B. & Stós, A. Martin Kernel for Fractional Laplacian in Narrow Cones. Potential Anal 42, 839–859 (2015). https://doi.org/10.1007/s11118-014-9459-9

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  • DOI: https://doi.org/10.1007/s11118-014-9459-9

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