On the regularity of the solutions and of analytic vectors for “sums of squares”

We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type. Moreover we also illustrate a result concerning the microlocal...

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Autor principal: Gregorio Chinni
Format: Article
Idioma:English
Publicat: University of Bologna 2023-01-01
Col·lecció:Bruno Pini Mathematical Analysis Seminar
Matèries:
Accés en línia:https://mathematicalanalysis.unibo.it/article/view/16159
Descripció
Sumari:We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type. Moreover we also illustrate a result concerning the microlocal Gevrey regularity of analytic vectors for operators sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type, thus providing a microlocal version, in the analytic category, of a result due to M. Derridj.
ISSN:2240-2829