Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension
From MaRDI portal
Publication:2693971
DOI10.1016/j.na.2023.113216OpenAlexW4317655691MaRDI QIDQ2693971
Satoshi Masaki, Jun-Ichi Segata, Naoyasu Kita, Kota Uriya
Publication date: 24 March 2023
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.02651
Asymptotic behavior of solutions to PDEs (35B40) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new proof of long-range scattering for critical nonlinear Schrödinger equations.
- Almost global existence for cubic nonlinear Schrödinger equations in one space dimension
- Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity
- Nonlinear Schrödinger systems in 2d with nondecaying final data
- Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
- Finite-time blowup for a Schrödinger equation with nonlinear source term
- Large time asymptotics of solutions to nonlinear Klein-Gordon systems
- Time decay for nonlinear dissipative Schrödinger equations in optical fields
- Blowup on an arbitrary compact set for a Schrödinger equation with nonlinear source term
- Classification of a class of systems of cubic ordinary differential equations
- \(\mathbf{L^2}\)-decay rate for the critical nonlinear Schrödinger equation with a small smooth data
- Blowup solutions for the nonlinear Schrödinger equation with complex coefficient.
- \(L^2\)-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class
- Asymptotic behavior for a class of derivative nonlinear Schrödinger systems
- Dissipative nonlinear Schrödinger equations for large data in one space dimension
- Final state problem for systems of cubic nonlinear Schrödinger equations in one dimension
- Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The asymptotic behavior of nonlinear Schrödinger equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
- On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension
- Final state problem for the nonlocal nonlinear Schrödinger equation with dissipative nonlinearity
- Scattering and small data completeness for the critical nonlinear Schrödinger equation
- Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities
