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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلف الرئيسي: Gregorio Chinni
التنسيق: مقال
اللغة:English
منشور في: University of Bologna 2023-01-01
سلاسل:Bruno Pini Mathematical Analysis Seminar
الموضوعات:
الوصول للمادة أونلاين:https://mathematicalanalysis.unibo.it/article/view/16159
الوصف
الملخص: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.
تدمد:2240-2829