Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term

被引：4

作者：

Nie, Dongdong ^{[1
]}

Xie, Feng ^{[1
]}

机构：

[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

上海市自然科学基金;

关键词：

singular perturbation; asymptotic expansion; boundary layer function; maximum principle; NUMERICAL-SOLUTION; COEFFICIENTS;

D O I：

10.1186/s13661-016-0673-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of singularly perturbed semilinear elliptic boundary value problems with discontinuous source term on two different domains is considered in this article. The formal asymptotic solution is constructed by using the method of boundary layer functions. Furthermore, the uniform validity of the solutions is proved by using the maximum principle. Finally, as an illustration, an example is presented.

引用

页数：17

共 50 条

[1] Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term
Dongdong Nie
Feng Xie
Boundary Value Problems, 2016
[2] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
Mo Jiaqi Yao Jingsun (Anhui Normal Univerisity
ApproximationTheoryandItsApplications, 2001, (04) : 11 - 16
[3] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION OF HIGHER ORDER
Chen Songlin (East China Institute of Metallurgy
Approximation Theory and Its Applications, 2000, (03) : 100 - 105
[4] The singularly perturbed boundary value problems for higher order semilinear elliptic equations
Mo, JQ
Xu, YX
ACTA MATHEMATICA SCIENTIA, 1997, 17 (01) : 44 - 50
[5] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS
莫嘉琪
许玉兴
Acta Mathematica Scientia, 1997, (01) : 44 - 50
[6] A class of singularly perturbed robin boundary value problems for semilinear elliptic equation
Mo J.
Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (4) : 364 - 368
[7] A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
Mo JiaqiDept.of Math.
AppliedMathematics:AJournalofChineseUniversities, 2001, (04) : 364 - 368
[8] Singularly Perturbed Generalized Boundary Value Problems for Semilinear Elliptic Equation of Fourth Order
莫嘉琪
王辉
朱江
NortheasternMathematicalJournal, 2002, (02) : 111 - 116
[9] The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems
Shibata, T
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (05) : 2123 - 2135
[10] BOUNDARY AND INTERIOR LAYER BEHAVIOR OF SOLUTIONS OF SOME SINGULARLY PERTURBED SEMILINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS
DESANTI, AJ
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1986, 65 (03): : 227 - 262

← 1 2 3 4 5 →