THE SMALL PARAMETER METHOD FOR REGULAR LINEAR DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAINS

被引：0

作者：

Karapetyan, G. A. ^{[1
]}

Tananyan, H. G. ^{[1
]}

机构：

[1] Russian Armenian Univ, Dept Appl Math & Informat, Yerevan, Armenia

来源：

EURASIAN MATHEMATICAL JOURNAL | 2013年 / 4卷 / 02期

关键词：

regular operator; hypoelliptic operator; boundary layer; regular degeneration; singular perturbation; uniform solvability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Algorithms for the asymptotic expansion of the solution to the Dirichlet problem for a regular equation with a small parameter epsilon (epsilon > 0) at higher derivatives on an unbounded domain (the whole space, the half space and a strip), based on the solution to the degenerate (as epsilon -> 0) Dirichlet problem for a regular hypoelliptic equation of the lower order, are described. Estimates for remainder terms of those expansions are obtained.

引用

页码：64 / 81

页数：18

共 23 条

[1]

Awrejcewicz J., 2006, INTRO ASYMPTOTIC MET, P242

[2]

Besov O. V., 1979, INTEGRAL REPRESENTAT, V2

[3]

Ghazaryan G. G., 1984, MAT SBORNIK, V124, P291

[4]

Ghazaryan G. G., 1967, MAT NOTES, V2, P45

[5]

Hormander L., 1990, ANAL LINEAR PARTIAL

[6]

Jager E. M., 1996, APPL MATH MECH, V42

[7]

Johnson R.S., 2005, SINGULAR PERTURBATIO

[8] Degeneration of semielliptic equations with constant coefficients in rectangular parallelepipeds [J].

Karapetyan, G. A. ;

Tananyan, H. G. .

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2010, 45 (02) :82-93

[9]

Karapetyan G. A., 1990, IZVESTIYA AN ARMSSR, V25, P192

[10]

Mikhailov V. P., 1967, T MAT I STEKLOVA, V91, P81

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