Modes and quasimodes

DOI10.1007/BF01077511zbMath0251.70012OpenAlexW2327675911MaRDI QIDQ2557132

Publication date: 1972

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077511

Mathematics Subject Classification ID

Membranes (74K15) Modal analysis in linear vibration theory (70J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (43)

Eigenvalues of the Neumann Laplacian in symmetric regions ⋮ ASYMPTOTICS OF INFINITE-DIMENSIONAL INTEGRALS WITH RESPECT TO SMOOTH MEASURES I ⋮ Multiplicities of the eigenvalues of the Schrödinger equation in any dimension ⋮ The local model of an isotropic map-germ arising from one-dimensional symplectic reduction ⋮ The Calderón problem in transversally anisotropic geometries ⋮ The submanifolds of compact operators with fixed Jordan cells ⋮ Sur les singularités de van Hove génériques ⋮ The geometry of the semiclassical wave front set for Schrödinger eigenfunctions on the torus ⋮ Asymptotically stable invariant tori of a vector field \(V(x)\) and the quasimodes of the operators \(V(x) \cdot \nabla- \varepsilon \Delta\) ⋮ Lax Equation on the Uhlenbeck Manifold ⋮ Asymptotics of the whispering gallery-type in the eigenproblem for the Laplacian in a domain of revolution diffeomorphic to a solid torus ⋮ Quasi-modes sur les variétés Riemanniennes ⋮ Construction de laplaciens dont une partie finie du spectre est donnée ⋮ Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum ⋮ Morse theory for discrete magnetic operators and nodal count distribution for graphs ⋮ Some spectral problems for cyclic mechanical systems ⋮ Scales, blow-up and quasimode constructions ⋮ The spectrum of the Laplacian of a \(Z_ 3-\)invariant domain ⋮ Energy bands: Chern numbers and symmetry ⋮ Semiclassical quantization of Bohr orbits in the helium atom ⋮ Long time approximations for solutions of wave equations via standing waves from quasimodes ⋮ Dependence of the convergence domain of spectral expansions on the geometry of the set of discontinuity of the function being expanded ⋮ Non-Lie top tunneling and quantum bilocalization in planar Penning trap ⋮ Generic non-selfadjoint Zakharov-Shabat operators ⋮ ON THE WHISPERING GALLERY MODES ON INTERFACES OF MEMBRANES COMPOSED OF TWO MATERIALS WITH VERY DIFFERENT DENSITIES ⋮ On the construction of quasimodes associated with stable periodic orbits ⋮ Non-self-adjointness of operators with small diffusion ⋮ On the geometry of the set of symmetric matrices with repeated eigenvalues ⋮ On minimality of determinantal varieties ⋮ Manifold method in the eigenvector theory of nonlinear operators. Transl. from the Russian ⋮ On real simple singularities ⋮ Unnamed Item ⋮ Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect ⋮ Hermite polynomial ansatz for a multidimensional well ⋮ Sur un nouvel invariant des graphes et un critère de planarité. (On a new graph invariant and a planarity criterion) ⋮ Integral representations over isotropic submanifolds and equations of zero curvature ⋮ The spectrum of the Laplacian and boundary perturbation. I ⋮ On the generic spectrum of a Riemannian cover ⋮ Rays, beams and quasimodes on thin shell structures ⋮ Generic spectrum of warped products and G-manifolds ⋮ Generic eigenvalue multiplicities for two-parameter families of operators ⋮ Oscillatory integrals, lagrange immersions and unfolding of singularities ⋮ On parametrization of the submanifold of matrices with a fixed structure of Jordan blocks

Cites Work

This page was built for publication: Modes and quasimodes