On the derivative nonlinear Schrödinger equation with weakly dissipative structure
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Publication:2044642
DOI10.1007/S00028-020-00634-6zbMath1476.35243arXiv2004.12075OpenAlexW3092491450MaRDI QIDQ2044642
Hideaki Sunagawa, Yoshinori Nishii, Yuji Sagawa, Chun-Hua Li
Publication date: 10 August 2021
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.12075
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (4)
Energy decay for small solutions to semilinear wave equations with weakly dissipative structure ⋮ Large time behavior of solutions to the critical dissipative nonlinear Schrödinger equation with large data ⋮ \(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations ⋮ Upper and lower \(L^2\)-decay bounds for a class of derivative nonlinear Schrödinger equations
Cites Work
- Unnamed Item
- Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces.
- A new proof of long-range scattering for critical nonlinear Schrödinger equations.
- Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
- Almost global existence for cubic nonlinear Schrödinger equations in one space dimension
- Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations
- Asymptotics of odd solutions for cubic nonlinear Schrödinger equations
- Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data
- Time decay for nonlinear dissipative Schrödinger equations in optical fields
- A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equation in 2D.
- Corrigendum to ``The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension [Discrete Contin. Dyn. Syst., 36 (2016), 5743-5761]
- An analytical estimation of the energy cost for legged locomotion
- Decay estimate and asymptotic behavior of small solutions to Schrödinger equations with subcritical dissipative nonlinearity
- Remarks on derivative nonlinear Schrödinger systems with multiple masses
- The initial value problem for nonlinear Schrödinger equations with a dissipative nonlinearity in one space dimension
- On Schrödinger systems with cubic dissipative nonlinearities of derivative type
- A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension
- On Agemi-type structural conditions for a system of semilinear wave equations
- Logarithmic Time Decay for the Cubic 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
- On the asymptotics for cubic nonlinear Schrödinger equations
- Large Time Behavior for the Cubic Nonlinear Schrödinger Equation
- Asymptotic behavior for solutions to the dissipative nonlinear Schrödinger equations with the fractional Sobolev space
- The dissipative property of a cubic non-linear Schrödinger equation
- Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities
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