\(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations
From MaRDI portal
Publication:6119788
DOI10.1007/s00023-023-01403-0OpenAlexW4390206182MaRDI QIDQ6119788
Publication date: 20 February 2024
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00023-023-01403-0
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The nonlinear Schrödinger equation. Singular solutions and optical collapse
- Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type.
- The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
- Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Existence of solutions for Schrödinger evolution equations
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- On the Cauchy problem for Schrödinger type equations and the regularity of solutions
- Modified scattering for the critical nonlinear Schrödinger equation
- On a class of solutions to the generalized derivative Schrödinger equations. II
- Time decay for nonlinear dissipative Schrödinger equations in optical fields
- Gain of regularity for semilinear Schrödinger equations
- On the derivative nonlinear Schrödinger equation with weakly dissipative structure
- Lower bound estimate for the dissipative nonlinear Schrödinger equation
- Upper and lower \(L^2\)-decay bounds for a class of derivative nonlinear Schrödinger equations
- \(\mathbf{L^2}\)-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
- Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity
- On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations
- On a class of solutions to the generalized derivative Schrödinger equations
- Global well-posedness and analytic smoothing effect for the dissipative nonlinear Schrödinger equations
- On the radius of spatial analyticity for cubic nonlinear Schrödinger equations
- Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities
- Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity
- Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms
- On Schrödinger systems with cubic dissipative nonlinearities of derivative type
- Local existence, global existence, and scattering for the nonlinear Schrödinger equation
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The asymptotic behavior of nonlinear Schrödinger equations
- On Agemi-type structural conditions for a system of semilinear wave equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Endpoint Strichartz estimates
- Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equation
- Asymptotic behavior for solutions to the dissipative nonlinear Schrödinger equations with the fractional Sobolev space
- On a class of solutions to the generalized KdV type equation
- Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities
- Optical soliton perturbation with nonlinear damping and saturable amplifiers
This page was built for publication: \(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations
