On the Local solvability of a class of degenerate second order operators with complex coefficients
Analysis of PDEs
2019-07-02 v3
Abstract
We study the local solvability of a class of operators with multiple characteristics. The class considered here complements and extends the one studied in [9], in that in this paper we consider some cases of operators with complex coefficients that were not present in [9]. The class of operators considered here ideally encompasses classes of degenerate parabolic and Schr\"odinger type operators. We will give local solvability theorems. In general, one has local solvability, but also cases of local solvability with better Sobolev regularity will be presented.
Keywords
Cite
@article{arxiv.1807.01040,
title = {On the Local solvability of a class of degenerate second order operators with complex coefficients},
author = {Serena Federico and Alberto Parmeggiani},
journal= {arXiv preprint arXiv:1807.01040},
year = {2019}
}