Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation
From MaRDI portal
Publication:2034927
DOI10.1016/j.camwa.2021.05.001OpenAlexW3166044949MaRDI QIDQ2034927
Mauricio A. Sepúlveda C., Rodrigo Véjar-Asem, Wellington José Corrêa, Marcelo Moreira Cavalcanti, Andrei V. Faminskii
Publication date: 23 June 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.001
Controllability (93B05) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis ⋮ Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schrödinger equation ⋮ Inverse problems for the higher order nonlinear Schrödinger equation ⋮ Data-driven prediction of soliton solutions of the higher-order NLSE via the strongly-constrained PINN method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the exponential decay for the nonlinear Schrödinger equation
- Decay of solutions to damped Korteweg-de Vries type equation
- Weak solutions to initial-boundary-value problems for quasilinear evolution equations of an odd order
- Global well-posedness and exponential decay rates for a KdV-Burgers equation with indefinite damping
- Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line
- Exponential stability for the \(2\)-D defocusing Schrödinger equation with locally distributed damping.
- Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger equations with inhomogeneous Dirichlet boundary control
- Weakly-damped focusing nonlinear Schrödinger equations with Dirichlet control
- Stabilization of the higher order nonlinear Schrödinger equation with constant coefficients
- Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation
- Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation
- On global solutions to the initial-boundary value problem for the damped nonlinear Schrödinger equations
- Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization
- Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping
- Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane
- Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Finite-difference solutions of a non-linear Schrödinger equation
- On the generalized Korteweg-de Vries type equations
- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
- A higher-order nonlinear Schrödinger equation with variable coefficients.
- Exponential stability for the defocusing semilinear Schrödinger equation with locally distributed damping on a bounded domain.
- Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping
- Exponential stabilization for the nonlinear Schrödinger equation with localized damping
- Interpolation non linéaire et régularité
- Asymptotic Stability for the Damped Schrödinger Equation on Noncompact Riemannian Manifolds and Exterior Domains
- Internal controllability of the korteweg–de vries equation on a bounded domain
- Well-posedness and Uniform Stability for Nonlinear Schrodinger Equations with Dynamic/Wentzell Boundary Conditions
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Methods for the Numerical Solution of the Nonlinear Schroedinger Equation
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
- Global controllability and stabilization for the nonlinear Schrödinger equation on an interval
- Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit
- THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
- Stabilization of the Korteweg-de Vries equation with localized damping
- Finite difference scheme for a high order nonlinear Schrodinger equation with localized damping
- Exact envelope-soliton solutions of a nonlinear wave equation
