Ill-posedness for the quadratic nonlinear Schrödinger equation with nonlinearity \(|u|^2\)

DOI10.3934/cpaa.2015.14.1395zbMath1331.35320OpenAlexW2550691158MaRDI QIDQ2351656

Tsukasa Iwabuchi, Kota Uriya

Publication date: 26 June 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.1395

zbMATH Keywords

nonlinear Schrödinger equationill-posednessnorm inflation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

Norm inflation for the generalized Boussinesq and Kawahara equations ⋮ Ill-posedness for a system of quadratic nonlinear Schrödinger equations in two dimensions ⋮ A remark on norm inflation for nonlinear Schrödinger equations ⋮ Random data Cauchy problem for the quadratic nonlinear Schrödinger equation without gauge invariance

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