تقرير
Solvability of Vekua-type periodic operators and applications to classical equations
| العنوان: | Solvability of Vekua-type periodic operators and applications to classical equations |
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| المؤلفون: | Kirilov, Alexandre, de Moraes, Wagner Augusto Almeida, Tokoro, Pedro Meyer |
| المصدر: | Indagationes Mathematicae, 2024 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Primary 35B10 Secondary 35E20, 30G20 |
| الوصف: | In this note, we investigate Vekua-type periodic operators of the form $Pu=Lu-Au-B\bar u$, where $L$ is a constant coefficient partial differential operator. We provide a complete characterization of the necessary and sufficient conditions for the solvability and global hypoellipticity of $P$. As an application, we provide a comprehensive characterization of Vekua-type operators associated with classical wave, heat, and Laplace equations. Comment: 10 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.indag.2024.03.001 |
| URL الوصول: | http://arxiv.org/abs/2311.10683 |
| رقم الأكسشن: | edsarx.2311.10683 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.indag.2024.03.001 |
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