On the role of quadratic oscillations in nonlinear Schrödinger equations.

DOI10.1016/S0022-1236(03)00212-XzbMath1059.35134arXivmath/0212171OpenAlexW2027088064MaRDI QIDQ1413980

Rémi Carles, Clotilde Fermanian-Kammerer, Isabelle Gallagher

Publication date: 17 November 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212171

zbMATH Keywords

Cauchy problemnonlinear Schrödinger equationinitial datanonlinear Schrödinger equation with harmonic potentialquadratic oscillations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Geometric optics and instability for semi-classical Schrödinger equations, Nonlinear coherent states and Ehrenfest time for Schrödinger equation, Semiclassical regularization of Vlasov equations and wavepackets for nonlinear Schrödinger equations, On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case

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