English

On the Grushin operator and hyperbolic symmetry

Analysis of PDEs 2007-05-23 v1

Abstract

Complexity of geometric symmetry for differential operators with mixed homogeniety is examined here. Sharp Sobolev estimates are calculated for the Grushin operator in low dimensions using hyperbolic symmetry and conformal geometry.

Keywords

Cite

@article{arxiv.math/9903126,
  title  = {On the Grushin operator and hyperbolic symmetry},
  author = {William Beckner},
  journal= {arXiv preprint arXiv:math/9903126},
  year   = {2007}
}

Comments

11 pages, AMSTeX

R2 v1 2026-07-22T18:02:21.992Z