Numerical linear algebra and solvability of partial differential equations

DOI10.1007/s00220-002-0683-6zbMath1021.35077OpenAlexW1576275398MaRDI QIDQ1849424

Maciej Zworski

Publication date: 1 December 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-002-0683-6

zbMATH Keywords

solvabilitynon-selfadjoint problempartial differential operators with complex coefficients

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Eigenvalues, singular values, and eigenvectors (15A18) General theory of partial differential operators (47F05)

Related Items

Exponential decay of eigenfunctions in many-body type scattering with second-order perturba\-tions ⋮ Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential ⋮ Interior Eigenvalue Density of Jordan Matrices with Random Perturbations ⋮ Almost sure Weyl law for a differential system in dimension 1 ⋮ Semiclassical spectral instability for non-self-adjoint operators. I: A model ⋮ On the pseudospectrum of elliptic quadratic differential operators ⋮ Elementary linear algebra for advanced spectral problems ⋮ Semiclassical spectral instability for non-self-adjoint operators. I: A model ⋮ Bound on the number of eigenvalues near the boundary of the pseudospectrum ⋮ The computation of resonances in open systems using a perfectly matched layer ⋮ Projective Hilbert space structures at exceptional points ⋮ Probabilistic Weyl laws for quantized tori ⋮ Pseudo-spectrum for a class of semi-classical operators ⋮ Pseudospectra of semiclassical (pseudo-) differential operators ⋮ BOSE–EINSTEIN CONDENSATES IN THE LOWEST LANDAU LEVEL: HAMILTONIAN DYNAMICS ⋮ MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator ⋮ Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators