A priori estimate for boundary layer thickness via viscosity solution

被引：0

作者：

Do Nascimento, AS ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 1998年 / 17卷 / 02期

关键词：

viscosity solution; boundary layer; radially symmetric solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use a viscosity solution approach in order to estimate the boundary layer thickness of radially symmetric solutions of a semilinear elliptic equation with Dirichlet boundary condition. In particular the estimates show how the boundary layer thickness depends on meaningful parameters appearing in the equation, namely the diffusivity and a source term.

引用

页码：135 / 148

页数：14

共 13 条

[1]

BARDI M, 1990, COMMUN PART DIFF EQ, V15, P1649

[2] COMPARISON PRINCIPLE FOR DIRICHLET-TYPE HAMILTON-JACOBI EQUATIONS AND SINGULAR PERTURBATIONS OF DEGENERATED ELLIPTIC-EQUATIONS [J].

BARLES, G ;

PERTHAME, B .

APPLIED MATHEMATICS AND OPTIMIZATION, 1990, 21 (01) :21-44

[3]

CLEMENT P, 1987, ANN SCUOLA NORMALI S, V14

[4] SOME PROPERTIES OF VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS [J].

CRANDALL, MG ;

EVANS, LC ;

LIONS, PL .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (02) :487-502

[5]

DESANTI AJ, 1986, J MATH PURE APPL, V65, P227

[6] BOUNDARY AND INTERIOR SPIKE LAYER FORMATION FOR AN ELLIPTIC EQUATION WITH SYMMETRY [J].

DONASCIMENTO, AS .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (02) :466-479

[7]

FIFE PC, 1973, ARCH RATION MECH AN, V52, P204

[8] REMARKS ON ELLIPTIC SINGULAR PERTURBATION PROBLEMS [J].

ISHII, H ;

KOIKE, S .

APPLIED MATHEMATICS AND OPTIMIZATION, 1991, 23 (01) :1-15

[9] SEMILINEAR ELLIPTIC SINGULAR PERTURBATION PROBLEMS WITH NONUNIFORM INTERIOR BEHAVIOR [J].

KELLEY, W ;

KO, B .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 86 (01) :88-101

[10]

LIONS PL, 1983, T AMS, V277, P1

← 1 2 →