A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension
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Publication:2816235
DOI10.3233/ASY-161362zbMath1342.35342arXiv1408.6464OpenAlexW3102349726MaRDI QIDQ2816235
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Publication date: 4 July 2016
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.6464
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Cites Work
- Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
- Nonlinear scattering theory at low energy
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Decay of solutions for a system of nonlinear Schrödinger equations in 2D
- Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities
- Global existence of small amplitude solutions to one-dimensional nonlinear Klein–Gordon systems with different masses
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The asymptotic behavior of nonlinear Schrödinger equations
- On the Schrödinger Equation with Dissipative Nonlinearities of Derivative Type
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities