Elliptic Equations and Boundary Value Problems in Non-Smooth Domains

被引：8
作者：
Vasilyev, Vladimir B. [1 ]
机构：
[1] Bryansk State Univ, Bezhitskaya 14, Bryansk 241036, Russia
来源：
PSEUDO-DIFFERENTIAL OPERATORS: ANALYSIS, APPLICATIONS AND COMPUTATIONS | 2011年 / 213卷
关键词：
Elliptic equation; boundary value problem; pseudo-differential equation; wave factorization; Calderon-Zygmund operator; spectra; Fourier series;
D O I：
10.1007/978-3-0348-0049-5_6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of elliptic boundary value problems for pseudo-differential equations in domains with a non-smooth boundary can be constructed with the help of special factorization of the elliptic symbol which is located at a singular boundary point.
引用
收藏
页码：105 / 121
页数：17
相关论文
共 15 条
[1]  
[Anonymous], 1964, Russ. Math. Surv.
[2]  
Bellow A., 2008, COLLECTED WORKS, V21
[3]  
Eskin G. I., 1981, TRANSL MATH MONOGR, V52
[4]  
Hardy G.H., 1944, FOURIER SERIES
[5]  
Harutjunjan G., 2008, Elliptic Mixed, Transmission and Singular Crack Problems
[6]  
Kapanadze D., 2003, CRACK THEORY EDGE SI
[7]  
Liu X., 2007, Math. Nachr, V280, P1
[8]   Ellipticity on manifolds with edges and boundary [J].
Liu, XC ;
Schulze, BW .
MONATSHEFTE FUR MATHEMATIK, 2005, 146 (04) :295-331
[9]  
SOBOLEV S. L., 1974, Introduction to the Theory of Cubature Formulas
[10]  
Vasilyev V. B., 2006, FOURIER MULTIPLIERS
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