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Isoperimetric methods and the heat equation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1207)

Keywords

  • Riemannian Manifold
  • Heat Equation
  • Heat Kernel
  • Isoperimetric Inequality
  • Compact Riemannian Manifold

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Further references for Chapter V

  1. CHAVEL, I.-Eigenvalues in Riemannian Geometry, Academic Press 1984.

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  2. BERARD, P.-BERGER, M.-Le Spectre d'une variété riemannienne en 1982, in Spectra of Riemannian Manifolds, Kaigai Publications 1983, p. 139–194 (see Appendix B).

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  3. DODZIUK, J.-Eigenvalues of the Laplacian and the heat equation, Amer. Math. Monthly 88 (1981), 686–695.

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  4. GILKEY, P.B.-The index theorem and the heat equation, Publish or Perish Inc, 1974.

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© 1986 Springer-Verlag

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Bérard, P.H. (1986). Isoperimetric methods and the heat equation. In: Spectral Geometry: Direct and Inverse Problems. Lecture Notes in Mathematics, vol 1207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076335

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  • DOI: https://doi.org/10.1007/BFb0076335

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16788-4

  • Online ISBN: 978-3-540-40958-8

  • eBook Packages: Springer Book Archive