English

Infinite dimensional families of locally nonsolvable partial differential operators

Analysis of PDEs 2008-02-03 v1

Abstract

Local solvability is analyzed for natural families of partial differential operators having double characteristics. In some families the set of all operators that are not locally solvable is shown to have both infinite dimension and infinite codimension.

Keywords

Cite

@article{arxiv.math/9512218,
  title  = {Infinite dimensional families of locally nonsolvable partial differential operators},
  author = {Michael Christ and Georgi Karadzhov and Detlef Müller},
  journal= {arXiv preprint arXiv:math/9512218},
  year   = {2008}
}