Non-radial finite time blow-up for the fourth-order nonlinear Schrödinger equations

DOI10.1016/j.aml.2022.108084zbMath1492.35303OpenAlexW4220771382MaRDI QIDQ2673694

Van Duong Dinh

Publication date: 13 June 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108084

zbMATH Keywords

blow-upfourth-order nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Global existence for the defocusing Sobolev critical Schrödinger equation under the finite variance condition of initial data ⋮ Energy scattering for non-radial inhomogeneous fourth-order Schrödinger equations

Cites Work

• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations
• On the inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability results
• On blowup solutions to the focusing intercritical nonlinear fourth-order Schrödinger equation
• FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS
• Singular solutions of theL²-supercritical biharmonic nonlinear Schrödinger equation
• Ring-type singular solutions of the biharmonic nonlinear Schrödinger equation
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations
• Blowup for Biharmonic NLS
• Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation
• Strong Instability of Ground States to a Fourth Order Schrödinger Equation

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