Pseudo-differential operators with meromorphic symbols and systems of complex differential equations

被引：0
|
作者：
Umarov, Sabir [1 ]
机构：
[1] Univ New Haven, Dept Math, West Haven, CT 06516 USA
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 06期
关键词：
Cauchy problem; elliptic systems; complex pseudo-differential equations; complex Fourier transform; Cauchy-Kowalevsky theorem; meromorphic symbols; 32W25; 35A10; 35J30; LINEAR ELLIPTIC SYSTEMS; LOCALLY CONVEX-SPACES; CAUCHY-PROBLEM; PARABOLIC EQUATIONS; SPATIAL VARIABLES; UNIQUENESS; ORDER; ANALYTICITY; THEOREM;
D O I：
10.1080/17476933.2014.979812
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is devoted to general boundary value problems for systems of complex differential and pseudo-differential equations with meromorphic symbols. As the solution spaces, special classes of analytic and exponential functions and functionals are introduced and the existence and uniqueness theorems in these spaces are proved.
引用
收藏
页码：829 / 863
页数：35
相关论文
共 50 条
12345