Blow-up of non-radial solutions for the L 2 critical inhomogeneous NLS equation

DOI10.1088/1361-6544/AC7B60zbMath1492.35299arXiv2108.11434OpenAlexW3196117572MaRDI QIDQ5089486

Mykael Cardoso, Luiz Gustavo Farah

Publication date: 19 July 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11434

zbMATH Keywords

blow-upnon-radial solutionsinhomogeneous NLS equation\(L^2\) critical

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

Cites Work

• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• An inhomogeneous, \(L^2\)-critical, nonlinear Schrödinger equation
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• Existence of solitary waves in higher dimensions
• Blowup of \(H^1\) solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation
• Scattering for the non-radial energy-critical inhomogeneous NLS
• Scattering for the radial focusing inhomogeneous NLS equation in higher dimensions
• On well posedness for the inhomogeneous nonlinear Schrödinger equation
• Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
• A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS

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