Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in \(H^{1,1}(\mathbb{C})\)

DOI10.4171/JST/129zbMath1354.37067arXiv1110.5589OpenAlexW2962971919MaRDI QIDQ329697

Peter A. Perry

Publication date: 21 October 2016

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5589

zbMATH Keywords

inverse scatteringDavey-Stewartson equation\(\bar{\partial}\)-method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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