Asymptotic behavior for a dissipative nonlinear Schrödinger equation with time-dependent damping

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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On the \(L^2\)-critical nonlinear Schrödinger equation with a nonlinear damping
On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain
On global solutions to the initial-boundary value problem for the damped nonlinear Schrödinger equations
Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data
Nonlinear scattering theory at low energy
Rapidly decaying solutions of the nonlinear Schrödinger equation
Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation
Modified scattering for the critical nonlinear Schrödinger equation
Time decay for nonlinear dissipative Schrödinger equations in optical fields
Lower bound estimate for the dissipative nonlinear Schrödinger equation
Optimal \(L^2\)-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity
\(\mathbf{L^2}\)-decay rate for the critical nonlinear Schrödinger equation with a small smooth data
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation
\(L^2\)-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class
Asymptotic behavior for a dissipative nonlinear Schrödinger equation
Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations
Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity
Self-focusing in the damped nonlinear Schrödinger equation
Local existence, global existence, and scattering for the nonlinear Schrödinger equation
Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations
The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation
Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient
Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equation
Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities
Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping

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