Scattering for the critical 2-D NLS with exponential growth.

zbMath1324.35167arXiv1302.1269MaRDI QIDQ2018253

Slim Ibrahim, Hajer Bahouri, Galina Perelman

Publication date: 13 April 2015

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1269

zbMATH Keywords

Cauchy problemscatteringnonlinear Schrödinger equationMoser-Trudinger inequalities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (13)

Well-posedness issues for a class of coupled nonlinear Schrödinger equations with critical exponential growth ⋮ On the behavior of solutions of nonlinear Schrödinger equation with exponential growth ⋮ Scattering for the two dimensional NLS with (full) exponential nonlinearity ⋮ Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited ⋮ Lack of compactness in the 2D critical Sobolev embedding, the general case ⋮ Global well-posedness of some high-order focusing semilinear evolution equations with exponential nonlinearity ⋮ Sharp Adams-type inequality invoking Hardy inequalities ⋮ A note on Choquard equations in two space dimensions ⋮ Structure theorems for 2D linear and nonlinear Schrödinger equations ⋮ Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity ⋮ Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness ⋮ Global well-posedness and instability of an inhomogeneous nonlinear Schrödinger equation ⋮ A note on global well-posedness and blow-up of some semilinear evolution equations

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