Estimates for Sums of Eigenvalues of the Free Plate via the Fourier\n Transform

2017/10/30 by Barbara Brandolini, Brandolini, Barbara, Francesco Chiacchio +3
Computer Science · Engineering · #35J40 #35P15 #74K20 #Advanced Mathematical Modeling in Engineering #Engineering and Materials Science Studies #FOS: Mathematics #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1710.11275

openalex publication_date 2017/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Fourier transform, we obtain upper bounds for sums of eigenvalues of the free plate.

Related

• Estimates for sums of eigenvalues of the free plate with nonzero Poisson's ratio
• Upper and lower bounds for eigenvalues of the clamped plate problem
• A lower bound for eigenvalues of a clamped plate problem
• Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem
• An Isoperimetric Inequality for Fundamental Tones of Free Plates