تقرير
Multi-dimensional Weiss operators
| العنوان: | Multi-dimensional Weiss operators |
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| المؤلفون: | Borisenok, S., Erkut, M. H., Polatoglu, Y., Demirer, M. |
| المصدر: | Turkish Journal of Mathematics, vol. 35 (2011), pp. 687-694 |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35A24, 47F05 |
| الوصف: | We present a solution of the Weiss operator family generalized for the case of $\mathbb{R}^{d}$ and formulate a d-dimensional analogue of the Weiss Theorem. Most importantly, the generalization of the Weiss Theorem allows us to find a sub-set of null class functions for a partial differential equation with the generalized Weiss operators. We illustrate the significance of our approach through several examples of both linear and non-linear partial differential equations. Comment: 12 pages, already published in Turkish Journal of Mathematics |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3906/mat-1006-404 |
| URL الوصول: | http://arxiv.org/abs/1202.1721 |
| رقم الأكسشن: | edsarx.1202.1721 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3906/mat-1006-404 |
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