AN EXTENSION PROBLEM RELATED TO THE SQUARE ROOT OF THE LAPLACIAN WITH NEUMANN BOUNDARY CONDITION

被引：0

作者：

Alves, Michele De Oliveira ^{[1
]}

Oliva, Sergio Muniz ^{[2
]}

机构：

[1] Univ Estadual Londrina, Dept Matemat, Londrina, Brazil

[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Sao Paulo, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Harmonic extension; Neumann boundary condition; square root of the Laplacian; nonlinear problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we define the square root of the Laplacian operator with Neumann boundary condition via harmonic extension method. By using Fourier series and periodic even extension we define the non-local operator square root in three type of bounded domains such as an interval, square or a ball. Also, as application we study the existence of weak solutions for a class of nonlinear elliptic problems.

引用

页数：18

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