On the double layer potential ansatz for the n-dimensional Helmholtz equation with Neumann condition

被引：1
作者：
Cialdea, Alberto [1 ]
Leonessa, Vita [1 ]
Malaspina, Angelica [1 ]
机构：
[1] Univ Basilicata, Dept Math Comp Sci & Econ, Vle Ateneo Lucano 10, I-85100 Potenza, Italy
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 71期
关键词：
Helmholtz equation; potential theory; integral representations;
D O I：
10.14232/ejqtde.2020.1.71
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we consider the Neumann problem for the n-dimensional Helmholtz equation. In particular we deal with the problem of representability of the solutions by means of double layer potentials.
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页码：1 / 11
页数：11
相关论文
共 12 条
  • [1] AGMON S, 1990, ANAL CETERA, P39
  • [2] Cialdea A., 1995, REND ACCAD NAZ SCI 4, V19, P25
  • [3] CIALDEA A, 1988, REND ACCAD NAZ SCI 4, V12, P181
  • [4] Cialdea A., 2017, INTEGRAL METHODS SCI, V1, P59
  • [5] Cialdea A., 2020, ADV MICROLOCAL TIME, P157, DOI DOI 10.1007/978-3-030-36138-9_9
  • [6] Cialdea A., 2015, ABSTR APPL ANAL, V2015
  • [7] Colton D, 2013, CLASS APPL MATH
  • [8] Dondi F, 2017, MEM DIFFER EQU MATH, V71, P69
  • [9] Fichera G., 1958, REND MAT ROMA, V17, P82
  • [10] Kupradze V. D., 1979, N HOLLAND SER APPL M, V25
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