Dispersive Properties of Schrödinger Operators in the Absence of a Resonance at Zero Energy in 3D
From MaRDI portal
Publication:4898783
DOI10.1007/978-3-0348-0454-7_7zbMath1270.35076arXiv1103.3760OpenAlexW2114099349MaRDI QIDQ4898783
Vladimir Georgiev, Mirko Tarulli
Publication date: 2 January 2013
Published in: Evolution Equations of Hyperbolic and Schrödinger Type (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3760
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order hyperbolic equations (35L15) Resonance in context of PDEs (35B34)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyperbolic trapped rays and global existence of quasilinear wave equations
- Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\)
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Existence of solitary waves in higher dimensions
- Morrey-Campanato estimates for Helmholtz equations
- Asymptotic stability of solitary waves
- Distribution of resonances for spherical black holes
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- On asymptotic stability of solitary waves for nonlinear Schrödinger equations
- Stable manifolds for an orbitally unstable nonlinear Schrödinger equation
- On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations
- Spectral analysis for matrix Hamiltonian operators
- Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations
- Spectra of Linearized Operators for NLS Solitary Waves
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Endpoint Strichartz estimates
- A perturbation theory of resonances
- Decay Estimates for the Wave Equation with Potential
- Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
- On the formation of singularities in solutions of the critical nonlinear Schrödinger equation
- Resonance expansions in semi-classical propagation.
