Echoes and glimpses of a distant drum
From MaRDI portal
Publication:4987025
DOI10.7494/OpMath.2020.40.6.737zbMath1468.35003MaRDI QIDQ4987025
Publication date: 28 April 2021
Published in: Opuscula Mathematica (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) History of differential geometry (53-03) History of partial differential equations (35-03)
Cites Work
- Partial differential equations. 4th ed
- The asymptotics of the heat equation for a boundary value problem
- Curvature and the eigenvalues of the Laplacian
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- A study of certain Green's functions with applications in the theory of vibrating membranes
- The asymptotic solution of linear differential equations of the second order for large values of a parameter
- Heat Equation for a Region in R2 with a Polygonal Boundary
- One cannot hear the shape of a drum
- Can One Hear the Shape of a Drum?
- Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds