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Heat Content Asymptotics on a Compact Riemannian Manifold with Boundary

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Real and Complex Submanifolds

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 106))

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Abstract

We review the heat content asymptotics on a compact Riemannian manifold with boundary and with specific heat and initial temperature distributions. Some computation of first a few terms in the asymptotic series are shown given the existence of a complete asymptotic series. This follows from a joint work with M. van den Berg and P. Gilkey.

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References

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Author information

Authors and Affiliations

  1. Korea Institute for Advanced Study, 85 Hoegiro Dongdaemun-gu, Seoul, 130-722, Korea

    Hyunsuk Kang

Authors
  1. Hyunsuk Kang
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Correspondence to Hyunsuk Kang .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Kyungpook National University, Daegu, Republic of Korea

    Young Jin Suh

  2. Department of Mathematics, King’s College London, London, UK

    Jürgen Berndt

  3. Department of Mathematics, Osaka City University, Osaka, Japan

    Yoshihiro Ohnita

  4. Department of Applied Mathematics, Kyung Hee University, Yongin, Republic of Korea

    Byung Hak Kim

  5. The Center for Geometry and its Applications, Pohang University of Science and Technology, Pohang, Republic of Korea

    Hyunjin Lee

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Kang, H. (2014). Heat Content Asymptotics on a Compact Riemannian Manifold with Boundary. In: Suh, Y.J., Berndt, J., Ohnita, Y., Kim, B.H., Lee, H. (eds) Real and Complex Submanifolds. Springer Proceedings in Mathematics & Statistics, vol 106. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55215-4_22

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