Smooth potentials with prescribed boundary behaviour

被引：0

作者：

Gardiner, SJ ^{[1
]}

Gustafsson, A

机构：

[1] Univ Coll Dublin, Dept Math, Dublin 4, Ireland

[2] Hogskolan Kalmar, Inst Kemi & Biomed Vetenskap, S-39182 Kalmar, Sweden

来源：

PUBLICACIONS MATEMATIQUES | 2004年 / 48卷 / 01期

关键词：

potential; boundary behaviour; superharmonic extension;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper examines when it is possible to find a smooth potential on a C-1 domain D with prescribed normal derivatives at the boundary. It is shown that this is always possible when D is a Liapunov-Dini domain, and this restriction on D is essential. An application concerning C-1 superharmonic extension is given.

引用

页码：241 / 249

页数：9

共 50 条

[1] GREENS POTENTIALS WITH PRESCRIBED BOUNDARY VALUES
WU, JMG
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1977, 29 (04): : 681 - 686
[2] Boundary behaviour of hypersingular potentials
Cialdea A.
Leonessa V.
Malaspina A.
[J]. ANNALI DELL'UNIVERSITA' DI FERRARA, 2019, 65 (1) : 95 - 120
[3] Construction of operators with prescribed behaviour
S. Grivaux
[J]. Archiv der Mathematik, 2003, 81 : 291 - 299
[4] Tracking with prescribed transient behaviour
Ilchmann, A
Ryan, EP
Sangwin, CJ
[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2002, 7 (20) : 471 - 493
[5] Construction of operators with prescribed behaviour
Grivaux, S
[J]. ARCHIV DER MATHEMATIK, 2003, 81 (03) : 291 - 299
[6] Phase boundary potentials of adsorbed films on metals - Part I - On the behaviour of oxygen on gold
Whalley, HK
Rideal, EK
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1933, 140 (842) : 484 - 489
[7] Phase boundary potentials of adsorbed films on metals - Part II - On the behaviour of iodine on platinum
Jacobs, L
Whalley, HK
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1933, 140 (842) : 489 - 496
[8] Construction of spirals with prescribed boundary conditions
Kurnosenko A.I.
[J]. Journal of Mathematical Sciences, 2011, 175 (5) : 534 - 545
[9] INFILTRATION IN SOILS WITH PRESCRIBED BOUNDARY CONCENTRATION
郭本瑜
SANDRA CARILLO
[J]. Acta Mathematicae Applicatae Sinica, 1990, (04) : 365 - 369
[10] On existence of spacelike surfaces with prescribed boundary
E. G. Grigor’eva
[J]. Siberian Mathematical Journal, 2000, 41 : 849 - 854

← 1 2 3 4 5 →