scientific article; zbMATH DE number 1071463

zbMath0885.35135MaRDI QIDQ4358851

Matania Ben-Artzi, Jonathan Nemirovsky

Publication date: 23 April 1998

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1997__67_1_29_0

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zbMATH Keywords

continuous spectrumextended resolventslimiting absorption principles

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (14)

Regularity, decay, and best constants for dispersive equations ⋮ Smoothing estimates for non-dispersive equations ⋮ Smooth Spectral Calculus ⋮ Optimal constants of smoothing estimates for the 2D Dirac equation ⋮ Decay estimates and Strichartz estimates of fourth-order Schrödinger operator ⋮ On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances ⋮ Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions ⋮ Divergence-type Operators: Spectral Theory and Spacetime Estimates ⋮ Spectral theory of first-order systems: From crystals to Dirac operators ⋮ Time-global smoothing estimates for a class of dispersive equations with constant coefficients ⋮ Completeness of the generalized eigenfunctions for relativistic Schrödinger operators. I ⋮ Spectral identities and smoothing estimates for evolution operators ⋮ Improved error bounds of the Strang splitting method for the highly oscillatory fractional nonlinear Schrödinger equation ⋮ Regularity and decay of solutions to the Stark evolution equation

Cites Work

• Local smoothing and convergence properties of Schrödinger type equations
• Phase space analysis of simple scattering systems: extensions of some work of Enss
• Decay and regularity for the Schrödinger equation
• Spectral properties of vaguely elliptic pseudodifferential operators with momentum-dependent long-range potentials using time-dependent scattering theory
• The limiting absorption principle for partial differential operators
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