A Riemann jump problem for biharmonic functions in fractal domains

被引：1
|
作者：
Abreu Blaya, Ricardo [1 ]
机构：
[1] Univ Autonoma Guerrero, Fac Matemat, Chilpancingo, Mexico
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 01期
关键词：
Biharmonic functions; Fractals; Lipschitz classes; Riemann problem; DIRICHLET PROBLEM;
D O I：
10.1007/s13324-020-00469-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Biharmonic functions are the solutions of the fourth order partial differential equation Delta Delta omega = 0. The purpose of this paper is to solve a kind of Riemann boundary value problem for biharmonic functions assuming higher order Lipschitz boundary data. We approach this problem making use of generalized Teodorescu transforms for obtaining the explicit expression of its solution in a Jordan domain Omega subset of R-2 with fractal boundary.
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页数：13
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