ASYMPTOTICS OF EIGENVALUES FOR DIFFERENTIAL OPERATORS OF FRACTIONAL ORDER

被引：8

作者：

Kukushkin, Maksim, V ^{[1
]}

机构：

[1] Russian Acad Sci, Kabardino Balkarian Sci Ctr, Nalchik 360051, Russia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2019年 / 22卷 / 03期

关键词：

fractional differential operators; Weyl asymptotics; Schatten-von Neumann class; sectorial property; accretive property; operators with compact resolvent; root vectors; SELF-ADJOINT;

D O I：

10.1515/fca-2019-0037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with a linear combination of a second order uniformly elliptic operator and the Kipriyanov fractional differential operator. We use a novel method based on properties of a real component to study such type of operators. We conduct the classification of the operators by belonging of their resolvent to the Schatten-von Neumann class and formulate the sufficient condition for the completeness of the root functions system. Finally we obtain an asymptotic formula.

引用

页码：658 / 680

页数：23

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