A method of symmetrization ; Applications to heat and spectral estimates
Alessandro Savo (1995-1996)
Séminaire de théorie spectrale et géométrie
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Displaying similar documents to “Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions.”
A method of symmetrization ; Applications to heat and spectral estimates
The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics
Peter Gilkey, J. H. Park (1999)
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An inverse problem for a general annular drum with positive smooth functions in the Robin boundary conditions.
E. M. E. Zayed (2000)
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S. Desjardins, P. Gilkey (1994)
Mathematische Zeitschrift
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An estimate on the hessian of the heat kernel
Daniel W. Stroock (1995)
Journées équations aux dérivées partielles
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Comparing heat operators through local isometries or fibrations
Manlio Bordoni (2000)
Bulletin de la Société Mathématique de France
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Recent progress on the boundary rigidity problem.
Stefanov, Plamen, Uhlmann, Gunther (2005)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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On the spectrum of the negative Laplacian for general doubly-connected bounded domains.
Zayed, E.M.E., Younis, A.I. (1995)
International Journal of Mathematics and Mathematical Sciences
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Geometric heat kernel coefficient for APS-type boundary conditions
Gorm Salomonsen (1998)
Journées équations aux dérivées partielles
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I present an alternative way of computing the index of a Dirac operator on a manifold with boundary and a special family of pseudodifferential boundary conditions. The local version of this index theorem contains a number of divergence terms in the interior, which are higher order heat kernel invariants. I will present a way of associating boundary terms to those divergence terms, which are rather local of nature.