Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2

DOI10.1353/AJM.2021.0014OpenAlexW3138430450MaRDI QIDQ4992271

Xiaoyi Zhang, Rowan Killip, Monica Visan

Publication date: 8 June 2021

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07738

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Coherent states (81R30) Dispersion theory, dispersion relations arising in quantum theory (81U30)

Related Items (6)

Periodic fourth-order cubic NLS: local well-posedness and non-squeezing property ⋮ The symplectic non-squeezing properties of mass subcritical Hartree equations ⋮ Symplectic embedding problems, old and new ⋮ Middle dimensional symplectic rigidity and its effect on Hamiltonian PDEs ⋮ Well-posedness issues on the periodic modified Kawahara equation ⋮ Symplectic nonsqueezing for the KdV flow on the line

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