On a class of sectorial functional-differential operators

被引:2
|
作者
Rossovskii, L. E. [1 ]
机构
[1] Peoples Friendship Univ Russia, Moscow, Russia
基金
俄罗斯基础研究基金会;
关键词
Elliptic System; Pseudodifferential Operator; Functional Operator; Operator Calculus; Algebraic Condition;
D O I
10.1134/S0012266112020073
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In a bounded domain containing the origin, we consider a partial differential equation whose leading terms contain transformations of arguments of the unknown function in the form of contractions and dilations. We study algebraic conditions under which the operator occurring in the equation satisfies the GAyenrding inequality. A criterion obtained earlier for constant coefficients cannot be generalized to the case of variable coefficients. We suggest a new approach to the solution of the problem in the case of variable coefficients based on the pseudodifferential operator calculus.
引用
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页码:234 / 245
页数:12
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