English

Global Irregularity For Degenerate Elliptic Operators

Analysis of PDEs 2016-09-06 v1

Abstract

Examples are given of degenerate elliptic operators on smooth, compact manifolds that are not globally regular in CC^\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.

Keywords

Cite

@article{arxiv.math/9512216,
  title  = {Global Irregularity For Degenerate Elliptic Operators},
  author = {Michael Christ},
  journal= {arXiv preprint arXiv:math/9512216},
  year   = {2016}
}