2023/12/11 by Subhasish Mukherjee, Ian Tice, Mukherjee, Subhasish +1
Mathematics · #35C07 #46J15 #46N20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46E35 #Secondary 46F05
paper · pdf · doi:10.48550/arxiv.2312.06044
openalex publication_date 2023/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a scale of anisotropic Sobolev spaces defined through a three-parameter family of Fourier multipliers and study their functional analytic properties. These spaces arise naturally in PDE when studying traveling wave solutions, and we give some simple applications of the spaces in this direction.