Local solvability of a class of degenerate second order operators
Analysis of PDEs
2019-07-02 v1
Abstract
In this paper we will first present some results about the local solvability property of a class of degenerate second order linear partial differential operators with smooth coefficients. The class under consideration (which in turn is a generalization of the Kannai operator) exhibits a degeneracy due to the interplay between the singularity associated with the characteristic set of a system of vector fields and the vanishing of a function. Afterward we will also discuss some local solvability results for two classes of degenerate second order linear partial differential operators with non-smooth coefficients which are a variation of the main class presented above.
Keywords
Cite
@article{arxiv.1709.09549,
title = {Local solvability of a class of degenerate second order operators},
author = {Serena Federico},
journal= {arXiv preprint arXiv:1709.09549},
year = {2019}
}