تقرير
Denjoy-Carleman solvability of Vekua-type periodic operators
| العنوان: | Denjoy-Carleman solvability of Vekua-type periodic operators |
|---|---|
| المؤلفون: | Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Tokoro, Pedro Meyer |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Primary 35A01, 35B10 Secondary 30G20, 46F05 |
| الوصف: | This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of Denjoy-Carleman ultradifferentiability. We provide the necessary and sufficient conditions for achieving these global properties in the case of constant-coefficient operators, along with applications to classical operators. Additionally, we investigate a class of variable coefficients and establish conditions for its solvability. Comment: 28 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.13110 |
| رقم الأكسشن: | edsarx.2406.13110 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |