Can one see the fundamental frequency of a drum?
From MaRDI portal
Publication:2583210
DOI10.1007/s11005-005-0010-1zbMath1099.35071arXivmath/0506181OpenAlexW2004401562MaRDI QIDQ2583210
Vladimir Gilelevich Maz'ya, Mikhail A. Shubin
Publication date: 13 January 2006
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0506181
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items
Estimates for variation of the first Dirichlet eigenvalue of the Laplace operator, Seventy five (thousand) unsolved problems in analysis and partial differential equations, Some applications of heat flow to Laplace eigenfunctions, Nodal geometry, heat diffusion and Brownian motion, Positivity criteria for a hyperbolic Schrödinger operator, Some remarks on nodal geometry in the smooth setting, On the lower bound of the inner radius of nodal domains, A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains, On maximizing the fundamental frequency of the complement of an obstacle, Two consequences of Davies' Hardy inequality, On the infimum of the spectrum of a relativistic Schrödinger operator, Gauge Optimization and Spectral Properties of Magnetic Schrödinger Operators, Mikhail Aleksandrovich Shubin
Cites Work
- Unnamed Item
- Unnamed Item
- Estimate on the fundamental frequency of a drum
- On the lowest eigenvalue of the Laplacian for the intersection of two domains
- A note on Hayman's theorem on the bass note of a drum
- Discreteness of spectrum and positivity criteria for Schrödinger operators
- The First Eigenvalue of the Laplacian for Plane Domains
- Some bounds for principal frequency
- Bonnesen-Style Isoperimetric Inequalities
- The isoperimetric inequality
- Can One Hear the Shape of a Drum?
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Potential theory