Solvability of a boundary integral equation on a polyhedron

被引：0

作者：

Grachev N.V. ^{[1
,2
]}

Maz'ya V.G. ^{[1
,2
]}

机构：

[1] Department of Mathematical Sciences, MandO Building, University of Liverpool, Liverpool

[2] Department of Mathematics, Linköping University

来源：

Journal of Mathematical Sciences | 2013年 / 191卷 / 2期

关键词：

Integral Equation; Dihedral Angle; Dirichlet Problem; Potential Theory; Neumann Problem;

D O I：

10.1007/s10958-013-1312-y

中图分类号：

学科分类号：

摘要：

The boundary integral equation associated with the Dirichlet problem for the Laplace equation on a polyhedral domain is considered. Pointwise estimates for the kernel of the inverse operator are derived. As a consequence, the solvability of the integral equation in the space of continuous functions and in a weighted Lp-space is obtained. Bibliography: 24 titles. © 2013 Springer Science+Business Media New York.

引用

下载

页码：193 / 213

页数：20

共 50 条

[31] SOLVABILITY OF A NONLOCAL PROBLEM FOR A HYPERBOLIC EQUATION WITH INTEGRAL CONDITIONS
Assanova, Anar T.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[32] On the Solvability of a Hypersingular Integral Equation on a Surface with Isothermal Coordinates
A. V. Setukha
Differential Equations, 2021, 57 : 1256 - 1272
[33] Remarks on the solvability of a convolution integral equation on a finite interval
A. G. Barsegyan
Differential Equations, 2017, 53 : 424 - 428
[34] On the Solvability of a Hypersingular Integral Equation on a Surface with Isothermal Coordinates
Setukha, A. V.
DIFFERENTIAL EQUATIONS, 2021, 57 (09) : 1256 - 1272
[35] Solvability conditions for an integral equation with singular and logarithmic kernels
A. S. Nenashev
Differential Equations, 2006, 42 : 1361 - 1363
[36] NECESSARY AND SUFFICIENT CONDITION FOR SOLVABILITY OF A PARTIAL INTEGRAL EQUATION
Eshkabilov, Yu. Kh.
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2009, 15 (01): : 67 - 73
[37] Solvability of integral boundary value problems at resonance in Rn
Song, Shiying
Meng, Shuman
Cui, Yujun
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01):
[38] Remarks on the Solvability of a Convolution Integral Equation on a Finite Interval
Barsegyan, A. G.
DIFFERENTIAL EQUATIONS, 2017, 53 (03) : 424 - 428
[39] SOLVABILITY OF REDUCED POSSIO INTEGRAL EQUATION IN THEORETICAL AEROELASTICITY
Shubov, Marianna A.
ADVANCES IN DIFFERENTIAL EQUATIONS, 2010, 15 (9-10) : 801 - 828
[40] Solvability of a fractional integral equation with the concept of measure of noncompactness
Sadarangani, Kishin
Samet, Bessem
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2017, 24 (01) : 135 - 151

← 1 2 3 4 5 →