2023/05/07 by Yi C. Huang, Huang, Yi C.
Computer Science · Mathematics · #35A23 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Primary 26D10 #Secondary 46E35 #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2305.05539
openalex publication_date 2023/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a conceptually simple and essentially one-dimensional approach to Rellich inequality in Euclidean space ℝn. In particular, we show that the radial part and the spherical part of the standard Laplacian form an angle in [0,π/2] when n≥4, a property known in the works of Evans-Lewis, Machihara-Ozawa-Wadade, and Bez-Machihara-Ozawa. Our proof here is direct and short.