On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order

被引：3
|
作者：
Cheng, Xinyu [1 ]
Li, Dong [2 ,3 ]
Yang, Wen [4 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China
[2] Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen, Peoples R China
[3] Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
[4] Chinese Acad Sci, Innovat Acad Precis Measurement Sci & Technol, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2023年 / 25卷 / 09期
关键词：
Fractional Helmholtz equation; tempered distribution; Fourier transform; UNIQUENESS;
D O I：
10.1142/S0219199722500365
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the equivalence of the classical Helmholtz equation and the fractional Helmholtz equation with arbitrary order. This improves a recent result of Guan, Murugan and Wei [Helmholtz solutions for the Fractional Laplacian and other related operators, to appear in Comm. Contemp. Math.].
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页数：8
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