Local Solvability of a Class of Degenerate Second Order Operators
Federico, Serena <1987>
Subject
MAT/05 Analisi matematica
Description
This thesis deals with the local solvability problem related to some degenerate second order partial differential operators with smooth and non-smooth coefficients with multiple characteristics. The main class analyzed is the one with smooth coefficients, which generalizes the one introduced by Colombini, Cordaro and Pernazza in [3]. The other classes considered are a variation with non-smooth coefficients of the main class mentioned above. These classes are particularly interesting since, in some cases, the operators are characterized by a changing sign principal symbol, and this changing sign property can negatively affect the local solvability.
Federico, Serena (2017) Local Solvability of a Class of Degenerate Second Order Operators, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 29 Ciclo. DOI 10.6092/unibo/amsdottorato/7777.