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Heat Trace Asymptotics with Singular Weight Functions II

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Abstract

We study the weighted heat trace asymptotics of an operator of Laplace type with mixed boundary conditions where the weight function exhibits radial blowup. We give formulas for the first three boundary terms in the expansion in terms of geometrical data.

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Authors and Affiliations

  1. Department of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, UK

    M. van den Berg

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

    P. Gilkey

  3. Department of Mathematics, Baylor University, Waco, TX, 76798, USA

    K. Kirsten

Authors
  1. M. van den Berg
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  2. P. Gilkey
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  3. K. Kirsten
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Corresponding author

Correspondence to M. van den Berg.

Additional information

Communicated by Michael E. Taylor.

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van den Berg, M., Gilkey, P. & Kirsten, K. Heat Trace Asymptotics with Singular Weight Functions II. J Geom Anal 21, 870–901 (2011). https://doi.org/10.1007/s12220-010-9170-z

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  • DOI: https://doi.org/10.1007/s12220-010-9170-z

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