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...

Ամբողջական նկարագրություն

Մատենագիտական մանրամասներ
Հիմնական հեղինակ: Gregorio Chinni
Ձևաչափ: Հոդված
Լեզու:English
Հրապարակվել է: University of Bologna 2023-01-01
Շարք:Bruno Pini Mathematical Analysis Seminar
Խորագրեր:
Առցանց հասանելիություն:https://mathematicalanalysis.unibo.it/article/view/16159
Նկարագրություն
Ամփոփում: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