Index property in Holderian theory for the Dirichlet exterior problem

被引:21
作者
Bolley, P
Lai, PT
机构
[1] Univ Nantes, Dept Math, F-44322 Nantes 3, France
[2] Univ Nantes, CNRS, UMR 6629, F-44322 Nantes, France
关键词
Fredholm properties; Laplace operator; exterior domains; Holder spaces;
D O I
10.1081/PDE-100001757
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, some Fredholm properties of the Dirichlet problem for the Laplace operator in an exterior domain are given in weighted Holder spaces. These results extend the corresponding approach in weighted L-p-Sobolev spaces.
引用
收藏
页码:315 / 334
页数:20
相关论文
共 10 条
[1]   ASYMPTOTIC PROPERTIES OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH SIMPLE CHARACTERISTICS [J].
AGMON, S ;
HORMANDER, L .
JOURNAL D ANALYSE MATHEMATIQUE, 1976, 30 :1-38
[2]  
AGMON SA, 1990, RES PAPERS HONOR J M, V12, P39
[3]   Dirichlet and Neumann exterior problems for the n-dimensional Laplace operator an approach in weighted Sobolev spaces [J].
Amrouche, C ;
Girault, V ;
Giroire, J .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (01) :55-81
[4]  
[Anonymous], ANN SCUOLA NORM SUP
[5]  
BENKIRANE N, 1988, CR HEBD ACAD SCI, V307, P557
[6]  
BOLLEY P, 1993, J MATH PURE APPL, V72, P105
[7]  
Dautray R., 1987, ANAL MATH CALCUL NUM, V2
[8]  
Lebedev N.N., 1972, Dover Books on Math- ematics
[9]  
MACOWEN RC, 1981, PARTIAL DIFFERENTIAL, V6, P783
[10]   SINGULAR INTEGRALS AND BOUNDARY VALUE PROBLEMS [J].
SEELEY, RT .
AMERICAN JOURNAL OF MATHEMATICS, 1966, 88 (04) :781-&