Smooth Spectral Calculus
From MaRDI portal
Publication:2904900
DOI10.1007/978-3-0348-0024-2_3zbMath1255.47006OpenAlexW204789615MaRDI QIDQ2904900
Publication date: 24 August 2012
Published in: Partial Differential Equations and Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0024-2_3
tensor productslimiting absorption principleeigenfunction expansiondivergence-type operatorspacetime estimatesspectral derivative
General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (5)
Feynman propagators on static spacetimes ⋮ Resonances under rank-one perturbations ⋮ Spectral theory of first-order systems: From crystals to Dirac operators ⋮ Spectral identities and smoothing estimates for evolution operators ⋮ Spectral density for the Schrödinger operator with magnetic field in the unit complex ball: solutions of evolutionary equations and applications to special functions
Cites Work
- Spectral representations for Schrödinger operators with long-range potentials
- Resolvent kernel estimates near thresholds.
- Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semilinear Cauchy problems.
- Resolvent estimates at low frequencies and limiting amplitude principle for acoustic propagators
- Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle
- Agmon-Kato-Kuroda theorems for a large class of perturbations
- A proof of the abstract limiting absorption principle by energy estimates
- Time-global smoothing estimates for a class of dispersive equations with constant coefficients
- Resolvent estimates for a sum of tensor products with applications to the spectral theory of differential operators
- Theory of potential scattering, taking into account spatial anisotropy
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Spectral analysis of N-body Schrödinger operators
- Absence of singular continuous spectrum for certain self-adjoint operators
- Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids
- Local smoothing and convergence properties of Schrödinger type equations
- Global estimates for the Schrödinger equation
- Best constants in some operator smoothness estimates
- Scattering theory for wave equations with dissipative terms
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- Regularity and decay of solutions to the Stark evolution equation
- Global smoothing properties of generalized Schrödinger equations
- Morrey-Campanato estimates for Helmholtz equations
- Decay and regularity for the Schrödinger equation
- On spectral properties of the acoustic propagator in a layered band
- On weighted \(L^2\) estimates of solutions to wave equations
- A sharp weighted \(L^2\)-estimate for the solution to the time-dependent Schrödinger equation
- Spectral analysis of an isotropic stratified elastic strip and applications
- Low and high energy resolvent estimates for wave propagation in stratified media and their applications.
- Resolvent estimates and scattering states for dissipative systems.
- Generalized Fourier transform for Schrödinger operators with potentials of order zero
- Decay and regularity for dispersive equations with constant coefficients
- Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
- A smoothing property of Schrödinger equations in the critical case
- Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients
- Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
- Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
- The abstract theory of scattering
- Limiting absorption method and absolute continuity for the Schrödinger operator
- EIGENFUNCTION EXPANSIONS AND SPACETIME ESTIMATES FOR GENERATORS IN DIVERGENCE-FORM
- LpEstimates for the wave equation with a potential
- Spectral and Scattering Theory for Schrodinger Operators with Potentials Independent of | x |
- Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
- On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
- Unitary equivalence and scattering theory for Stark-like Hamiltonians
- The limiting absorption principle for partial differential operators
- Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien
- Elliptic Partial Differential Equations of Second Order
- Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge
- Limiting Absorption Principle for Stratified Operators with Thresholds: A General Method
- Analyticity properties and estimates of resolvent kernels near thresholds
- SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
- SMOOTHING EFFECTS OF DISPERSIVE PSEUDODIFFERENTIAL EQUATIONS
- Analyse Spectrale d’Une Bande Acoustique Multistratifiée I: Principe d’Absorption Limite pour une Stratification Simple
- Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators
- The principle of limiting absorption
- Time decay for the nonlinear Klein-Gordon equation
- Wave and scattering operators for second-order elliptic operators in {$R\sp{3}$}
- Smooth operators and commutators
- Spectral and scattering theory for wave propagation in perturbed stratified media
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Smooth Spectral Calculus
