Work

An extension problem related to the square root of the Laplacian with Neumann boundary condition

Year: 2014

Type: article

Abstract: 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.

Source: LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)

Authors: Michele de Oliveira Alves, Sergio Muniz Oliva

Institutions: Universidade Estadual de Londrina, Universidade de São Paulo

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3217705125

FWCI: 2.259

Cites:

Cited by: 9

Related to: 9