Pseudospectra of semiclassical (pseudo-) differential operators
From MaRDI portal
Publication:4458591
DOI10.1002/cpa.20004zbMath1054.35035arXivmath/0301242OpenAlexW2073375886MaRDI QIDQ4458591
Maciej Zworski, Johannes Sjöstrand, Niels Dencker
Publication date: 15 March 2004
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0301242
Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Pseudodifferential operators (47G30)
Related Items (58)
Pseudomodes for non-self-adjoint Dirac operators ⋮ Mathematics of magic angles in a model of twisted bilayer graphene ⋮ Pseudospectra in non-Hermitian quantum mechanics ⋮ Schrödinger operators with complex sparse potentials ⋮ Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds ⋮ Semiclassical Analysis for the Kramers–Fokker–Planck Equation ⋮ Interior Eigenvalue Density of Jordan Matrices with Random Perturbations ⋮ Spectral projections and resolvent bounds for partially elliptic quadratic differential operators ⋮ The semiclassical regime for ablation front models ⋮ Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion ⋮ Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics ⋮ Fractal upper bounds on the density of semiclassical resonances ⋮ Stochastic stability of Pollicott-Ruelle resonances ⋮ Sharp resolvent estimate for the damped-wave Baouendi-Grushin operator and applications ⋮ Semiclassical Gevrey operators in the complex domain ⋮ Quantum decay rates in chaotic scattering ⋮ Hypoelliptic and spectral estimates for some linear operators of Landau type ⋮ Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials ⋮ Almost sure Weyl law for quantized tori ⋮ Resolvent estimates for one-dimensional Schrödinger operators with complex potentials ⋮ On the pseudospectrum of the harmonic oscillator with imaginary cubic potential ⋮ Almost sure Weyl law for a differential system in dimension 1 ⋮ Pseudo-modes for Schrödinger operators with complex potentials ⋮ Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators ⋮ Barrier-top resonances for non globally analytic potentials ⋮ Microlocal kernel of pseudodifferential operators at a hyperbolic fixed point ⋮ Semiclassical states associated with isotropic submanifolds of phase space ⋮ Approximating Resonances with the Complex Absorbing Potential Method ⋮ The precise shape of the eigenvalue intensity for a class of non-self-adjoint operators under random perturbations ⋮ Semiclassical spectral instability for non-self-adjoint operators. I: A model ⋮ Two point eigenvalue correlation for a class of non-selfadjoint operators under random perturbations ⋮ On the pseudospectrum of elliptic quadratic differential operators ⋮ Nonlinear instability in a semiclassical problem ⋮ Contraction semigroups of elliptic quadratic differential operators ⋮ The Complex Airy Operator on the Line with a Semipermeable Barrier ⋮ Semiclassical spectral instability for non-self-adjoint operators. I: A model ⋮ Bound on the number of eigenvalues near the boundary of the pseudospectrum ⋮ The Solvability and Subellipticity of Systems of Pseudodifferential Operators ⋮ Wave packet pseudomodes of variable coefficient differential operators ⋮ Fractional partial differential equation: fractional total variation and fractional steepest descent approach-based multiscale denoising model for texture image ⋮ Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential ⋮ Resolvent Estimates for Non-Selfadjoint Operators via Semigroups ⋮ Local eigenvalue statistics of one-dimensional random nonselfadjoint pseudodifferential operators ⋮ Probabilistic Weyl laws for quantized tori ⋮ Perturbations of Gibbs semigroups and the non-selfadjoint harmonic oscillator ⋮ Pseudo-spectrum for a class of semi-classical operators ⋮ Perturbations of Jordan matrices ⋮ On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators ⋮ Spectral statistics of non-selfadjoint operators subject to small random perturbations ⋮ Pseudospectra of the Damped Wave Equation with Unbounded Damping ⋮ Geometric control in the presence of a black box ⋮ Pseudospectra of semiclassical boundary value problems ⋮ Semigroup expansions for non-selfadjoint Schrödinger operators ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets ⋮ Positivity, complex FIOs, and Toeplitz operators ⋮ Semi-classical analysis and pseudo-spectra ⋮ BOSE–EINSTEIN CONDENSATES IN THE LOWEST LANDAU LEVEL: HAMILTONIAN DYNAMICS ⋮ Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential operators of principal type
- Distribution of poles for scattering on the real line
- Micro-hyperbolic pseudo-differential operators. I
- From quasimodes to resonances
- Semi-classical states for non-self-adjoint Schrödinger operators
- A global construction for pseudo-differential operators with non- involutive characteristics
- Numerical linear algebra and solvability of partial differential equations
- Resonance free domains for non globally analytic potentials
- Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body
- Quasimodes and resonances: sharp lower bounds
- Determinants of pseudodifferential operators and complex deformations of phase space.
- On the pseudospectra of Berezin--Toeplitz operators
- A remark on a paper of E. B. Davies
- NON-SELF-ADJOINT DIFFERENTIAL OPERATORS
- Pseudo–spectra, the harmonic oscillator and complex resonances
- Pseudospectra of Linear Operators
- Wave packet pseudomodes of twisted Toeplitz matrices
- Differential equations without solutions
- An introduction to semiclassical and microlocal analysis
This page was built for publication: Pseudospectra of semiclassical (pseudo-) differential operators
