Global well-posedness for nonlinear fourth-order Schrödinger equations
From MaRDI portal
Publication:2634918
DOI10.1186/s13661-016-0534-6zbMath1330.35412OpenAlexW2263949699WikidataQ59480464 ScholiaQ59480464MaRDI QIDQ2634918
Jie Liu, Mingyou Zhang, Xiuyan Peng, Yi Niu, Ji-Hong Shen
Publication date: 10 February 2016
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-016-0534-6
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear fourth-order Schrödinger equations with radial data
- Ill-posedness of nonlinear parabolic equation with critical initial condition
- Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation
- Biharmonic nonlinear Schrödinger equation and the profile decomposition
- Fourth order wave equations with nonlinear strain and source terms
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Saddle points and instability of nonlinear hyperbolic equations
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Lyapunov approach to the soliton stability in highly dispersive systems. I: Fourth order nonlinear Schrödinger equations
- Potential well method for Cauchy problem of generalized double dispersion equations
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- FINITE TIME BLOW UP OF FOURTH-ORDER WAVE EQUATIONS WITH NONLINEAR STRAIN AND SOURCE TERMS AT HIGH ENERGY LEVEL
- Scattering theory for the fourth-order Schrödinger equation in low dimensions
- Singular solutions of theL2-supercritical biharmonic nonlinear Schrödinger equation
- Self-Focusing with Fourth-Order Dispersion
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation
This page was built for publication: Global well-posedness for nonlinear fourth-order Schrödinger equations