The Cauchy problem for the fourth-order Schrödinger equation in H s
DOI10.1063/5.0045390zbMath1469.81016OpenAlexW3180234698MaRDI QIDQ5009712
No author found.
Publication date: 5 August 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0045390
Sensitivity, stability, well-posedness (49K40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
- The focusing energy-critical fourth-order Schrödinger equation with radial data
- Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- The cubic fourth-order Schrödinger equation
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation
- The global Cauchy problem and scattering of solutions for nonlinear Schrödinger equations in \(H^s\).
- On the well-posedness for NLS in \(H^s\)
- Lyapunov approach to the soliton stability in highly dispersive systems. I: Fourth order nonlinear Schrödinger equations
- Wellposedness for the fourth order nonlinear Schrödinger equations
- Modified wave operators for the fourth-order non-linear Schrödinger-type equation with cubic non-linearity
- Asymptotics for a class of oscillating fourth-order nonlinear Schrödinger equations
- Dispersion estimates for fourth order Schrödinger equations
- Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations
This page was built for publication: The Cauchy problem for the fourth-order Schrödinger equation in H s