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.
@article{8172,
title = {Local Solvability of a Class of Degenerate Second Order Operators},
journal = {Bruno Pini Mathematical Analysis Seminar},
year = {2018},
doi = {10.6092/issn.2240-2829/8172},
language = {EN},
url = {http://dml.mathdoc.fr/item/8172}
}
Federico, Serena. Local Solvability of a Class of Degenerate Second Order Operators. Bruno Pini Mathematical Analysis Seminar, (2018), . doi : 10.6092/issn.2240-2829/8172. http://gdmltest.u-ga.fr/item/8172/