Heat Content, Heat Trace, and Isospectrality

Details Heat Content, Heat Trace, and Isospectrality Heat Content, Heat Trace, and Isospectrality

2008-02-20

arxiv.org/abs/0802.2948v1

Mathematics

Analysis of PDEs

Scientific paper

We study the heat content function, the heat trace function, and questions of
isospectrality for the Laplacian with Dirichlet boundary conditions on a
compact manifold with smooth boundary in the context of finite coverings and
warped products.

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