Global Irregularity For Degenerate Elliptic Operators

Details Global Irregularity For Degenerate Elliptic Operators Global Irregularity For Degenerate Elliptic Operators

1995-12-07

arxiv.org/abs/math/9512216v1

Mathematics

Analysis of PDEs

Scientific paper

Examples are given of degenerate elliptic operators on smooth, compact
manifolds that are not globally regular in $C^\infty$. These operators
degenerate only in a rather mild fashion. Certain weak regularity results are
proved, and an interpretation of global irregularity in terms of the
associated heat semigroup is given.

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