Boundary Integral Operator for the Fractional Laplace Equation in a Bounded Lipschitz Domain

被引：0

作者：

TongKeun Chang

机构：

[1] Yonsei University,Department of Mathematics

来源：

Integral Equations and Operator Theory | 2012年 / 72卷

关键词：

Primary 45P05; Secondary 30E25; Boundary integral operator; layer potential; fractional Laplacian; bounded Lipschitz domain;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fractional Laplace equation.

引用

页码：345 / 361

页数：16

共 50 条

[1] Boundary Integral Operator for the Fractional Laplace Equation in a Bounded Lipschitz Domain
Chang, TongKeun
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2012, 72 (03) : 345 - 361
[2] Mixed boundary value problem of Laplace equation in a bounded Lipschitz domain
Chang, TongKeun
Choe, Hi Jun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) : 794 - 807
[3] BOUNDARY INTEGRAL OPERATOR FOR THE FRACTIONAL LAPLACIAN ON THE BOUNDARY OF A BOUNDED SMOOTH DOMAIN
Chang, Tongkeun
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2016, 28 (03) : 343 - 372
[4] On an exterior boundary value problem for the Laplace equation with boundary operator of fractional order
Turmetov, B. Kh
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'16), 2016, 1789
[5] ON GENERALIZED VENTCEL'S TYPE BOUNDARY CONDITIONS FOR LAPLACE OPERATOR IN A BOUNDED DOMAIN
Bonnaillie-Noel, V.
Dambrine, M.
Herau, F.
Vial, G.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (02) : 931 - 945
[6] On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator
Muratbekova, Moldir A.
Shinaliyev, Kanat M.
Turmetov, Batirkhan K.
BOUNDARY VALUE PROBLEMS, 2014,
[7] On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator
Moldir A Muratbekova
Kanat M Shinaliyev
Batirkhan K Turmetov
Boundary Value Problems, 2014
[8] WAVE-EQUATION ON A BOUNDED DOMAIN WITH BOUNDARY DISSIPATION - AN OPERATOR APPROACH
TRIGGIANI, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 137 (02) : 438 - 461
[9] WELL-POSED PROBLEMS FOR THE FRACTIONAL LAPLACE EQUATION WITH INTEGRAL BOUNDARY CONDITIONS
Tokmagambetov, Niyaz
Torebek, Berikbol T.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[10] THE BOUNDARY INTEGRAL METHOD FOR THE HELMHOLTZ EQUATION WITH CRACKS INSIDE A BOUNDED DOMAIN
Guo, Jun
Fan, Lili
Yan, Guozheng
ACTA MATHEMATICA SCIENTIA, 2015, 35 (03) : 539 - 551

← 1 2 3 4 5 →