Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces

被引：5

作者：

Enciso, Alberto

del Mar Gonzalez, Maria

Vergara, Bruno

机构：

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 273卷 / 06期

关键词：

Fractional wave operators; Nonlocal equations; Dirichlet-to-Neumann maps; Anti-de Sitter spaces; EXTENSION PROBLEM; CONFORMAL GEOMETRY; LAPLACIAN; CONSTANT; EQUATION;

D O I：

10.1016/j.jfa.2017.06.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the fractional wave operator, which is usually studied in the context of hypersingular integrals but had not yet appeared in mathematical physics, can be constructed as the Dirichlet-to-Neumann map associated with the Klein Gordon equation in anti-de Sitter spacetimes. Several generalizations of this relation will be discussed too. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：2144 / 2166

页数：23

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