Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation

DOI10.1016/j.na.2011.05.096zbMath1228.35234OpenAlexW2045758913MaRDI QIDQ640145

Shihui Zhu, Jian Zhang, Han Yang

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.096

zbMATH Keywords

nonlinear Schrödinger equationlimiting profile\(I\)-method\(L^2\)-concentrationrough blow-up solution

Mathematics Subject Classification ID

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

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Global well-posedness for nonlinear fourth-order Schrödinger equations ⋮ The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave ⋮ Unnamed Item ⋮ Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line ⋮ On blowup solutions to the focusing intercritical nonlinear fourth-order Schrödinger equation

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