The WKB method and geometric instability for nonlinear Schrödinger equations on surfaces
From MaRDI portal
Publication:3614866
DOI10.24033/bsmf.2553zbMath1161.35050arXivmath/0609805OpenAlexW2963294396MaRDI QIDQ3614866
Publication date: 16 March 2009
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0609805
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (5)
High frequency solutions of the nonlinear Schrödinger equation on surfaces ⋮ Strichartz estimates for the Schrödinger equation on irrational tori ⋮ Construction of nonlinear quasimodes near elliptic periodic orbits ⋮ Loss of regularity for supercritical nonlinear Schrödinger equations ⋮ Initial value problems for nonlinear dispersive equations at critical regularity
Cites Work
- Unnamed Item
- Unnamed Item
- An instability property of the nonlinear Schrödinger equation on \(S^d\)
- Geometric optics and instability for semi-classical Schrödinger equations
- The quantum stability problem for some class of time-dependent Hamiltonians
- Semi-classical analysis for the Schrödinger operator and applications
- Approximate eigenfunctions of the Laplacian
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- On the nonlinear Schrödinger dynamics on \(\mathbb S^2\)
- Remarks on nonlinear Schrödinger equations with harmonic potential
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
- Riemannian geometry
This page was built for publication: The WKB method and geometric instability for nonlinear Schrödinger equations on surfaces
