Semilinear boundary value problems for degenerate pseudodifferential operators in spaces of Sobolev type

被引：0

作者：

Egorov, Yu. V. ^{[1
]}

Nguyen Minh Chuong ^{[2
]}

Dang Anh Tuan ^{[3
]}

机构：

[1] Univ Toulouse 3, F-31062 Toulouse, France

[2] Inst Math, Hanoi 10000, Vietnam

[3] State Univ Hanoi, Hanoi, Vietnam

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 15卷 / 02期

关键词：

Mathematical Physic; Boundary Value Problem; Bounded Operator; Cauchy Sequence; Pseudodifferential Operator;

D O I：

10.1134/S1061920808020064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Boundary value problems for degenerate semilinear elliptic pseudodifferential operators are considered. Using the apparatus of the theory of pseudodifferential operators, function spaces introduced in [4-8], and the Rabinowitz construction [12] based on the Borsuk theorem (see [11]), we prove the existence of solutions of the problem in suitable function spaces.

引用

页码：222 / 237

页数：16

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