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Properties of $M$−hyoellipticity for pseudo differential operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 4، دوره 4، شماره 1، شهریور 2013، صفحه 35-48 اصل مقاله (438.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2013.24 | ||
| نویسندگان | ||
| M. Alimohammady* ؛ M. K. Kalleji | ||
| Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran. | ||
| تاریخ دریافت: 08 تیر 1391، تاریخ بازنگری: 16 دی 1391، تاریخ پذیرش: 09 بهمن 1391 | ||
| چکیده | ||
| In this paper we study properties of symbols such that these belong to class of symbols sitting inside $S_{\rho,\varphi}^m$ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operators play a key role in quantum mechanics we will investigate some properties of $M$−hypoelliptic pseudo differential operators for which define base on this class of symbols. Also we consider maximal and minimal operators of $M$-hypoelliptic pseudo differential operators and we express some results about these operators. | ||
| کلیدواژهها | ||
| pseudo differential operator؛ elliptic operator؛ hypoelliptic operator؛ parametrix operator | ||
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