English

Properties of Solutions of a Class of Hypocomplex Vector Fields

Analysis of PDEs 2015-11-09 v1

Abstract

A Cauchy type integral operator is associated to a class of integrable vector fields with complex coefficients. Properties of the integral operator are used to deduce Holder solvability of semilinear equations and a strong similarity principle is established.

Keywords

Cite

@article{arxiv.1511.02098,
  title  = {Properties of Solutions of a Class of Hypocomplex Vector Fields},
  author = {C. Campana and P. L. Dattori Da Silva and A. Meziani},
  journal= {arXiv preprint arXiv:1511.02098},
  year   = {2015}
}