CASCADE OF PHASE SHIFTS FOR NONLINEAR SCHRÖDINGER EQUATIONS

DOI10.1142/S0219891607001112zbMath1122.35129arXivmath/0502242MaRDI QIDQ3447031

Rémi Carles

Publication date: 28 June 2007

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502242

zbMATH Keywords

semi-classical limitcausticcompressible Euler equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

• Geometric optics and instability for semi-classical Schrödinger equations
• WKB analysis for nonlinear Schrödinger equations with potential
• Caustics of nonlinear waves
• Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations
• Propagation of oscillations in real vanishing viscosity limit
• Sur la solution à support compact de l’equation d’Euler compressible
• The semiclassical limit of the defocusing NLS hierarchy
• Semiclassical limit of the nonlinear Schrödinger equation in small time
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Oscillatory integrals, lagrange immersions and unfolding of singularities
• Explosion Geometrique pour des Systemes Quasi-Lineaires

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