تقرير
Systems of differential operators in time-periodic Gelfand-Shilov spaces
| العنوان: | Systems of differential operators in time-periodic Gelfand-Shilov spaces |
|---|---|
| المؤلفون: | Silva, Fernando de Ávila, Cappiello, Marco, Kirilov, Alexandre |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Primary: 35N05, 35A01. Secondary 35H10, 46F05 |
| الوصف: | This paper explores the global properties of time-independent systems of operators in the framework of Gelfand-Shilov spaces. Our main results provide both necessary and sufficient conditions for global solvability and global hypoellipticity, based on analysis of the symbols of operators. We also present a class of time-dependent operators whose solvability and hypoellipticity are linked to the same properties of an associated time-independent system, albeit with a loss of regularity for temporal variables. Comment: 27 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.05096 |
| رقم الأكسشن: | edsarx.2403.05096 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |