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A note on the index of cone differential operators

Juan B. Gil·Paul A. Loya·Gerardo A. Mendoza
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Abstract

We prove that the index formula for $b$-elliptic cone differential operators given by M. Lesch holds verbatim for operators whose coefficients are not necessarily independent of the normal variable near the boundary. We also show that, for index purposes, the operators can always be considered on weighted Sobolev spaces.

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Juan B. Gil, Paul A. Loya, Gerardo A. Mendoza. 2001-10-16. A note on the index of cone differential operators. https://arxiv.org/abs/math/0110172

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