$C^{\infty} $ spectral rigidity of the ellipse

Details $C^{\infty} $ spectral rigidity of the ellipse $C^{\infty} $ spectral rigidity of the ellipse

2010-07-10

arxiv.org/abs/1007.1741v3

Mathematics

Spectral Theory

This is a major revision which gives full details on the Hadamard variation of the wave trace on a domain with boundary

Scientific paper

We prove that ellipses are infinitesimally spectrally rigid among
$C^{\infty}$ domains with the symmetries of the ellipse.

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