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.
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页码：222 / 237
页数：16
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