Nonvanishing at spatial extremity solutions of the defocusing nonlinear Schrödinger equation

DOI10.1002/MMA.5074zbMath1428.35512OpenAlexW2893236555MaRDI QIDQ5240959

Nikolaos Gialelis, Ioannis G. Stratis

Publication date: 29 October 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5074

zbMATH Keywords

Cauchy problemnonlinear Schrödinger equationextension operatordefocusingdark solitonnonvanishing at spatial extremity solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

A quantitative approach on the solvability of evolution problems in open sets of certain geometries ⋮ Regularity of nonvanishing – at infinity or at the boundary – solutions of the defocusing nonlinear Schrödinger equation

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