Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering
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Publication:2955374
DOI10.1080/03605302.2016.1227337zbMath1358.35173arXiv1511.01173OpenAlexW2962984324MaRDI QIDQ2955374
Jiaqi Liu, Catherine Sulem, Peter A. Perry
Publication date: 25 January 2017
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.01173
derivative nonlinear Schrödinger equationglobal well-posednessinverse scattering methodsolitonless solutions
Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Volterra integral equations (45D05) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)
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