Separability of the third-order differential operator given on the whole plane

IF 0.7 Q2 MATHEMATICS
A. O. Suleimbekova
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引用次数: 0

Abstract

In this paper, in the space L_2(R^2), we study a third-order differential operator with continuous coefficients in R(−∞, +∞). Here, these coefficients can be unlimited functions at infinity. In addition under some restrictions on the coefficients, the bounded invertibility of the given operator is proved and a coercive estimate is obtained, i.e. separability is proved.
三阶微分算子在整个平面上的可分性
本文在L_2(R^2)空间中,研究了R(-∞,+∞)中具有连续系数的三阶微分算子。这里,这些系数可以是无穷大的无限函数。此外,在对系数的一些限制下,证明了给定算子的有界可逆性,并得到了强制估计,即证明了可分性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.20
自引率
50.00%
发文量
50
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