Well-posedness and uniform decay rates for a nonlinear damped Schrödinger-type equation
From MaRDI portal
Publication:2240572
DOI10.1515/ans-2021-2150zbMath1477.35234OpenAlexW3208761418MaRDI QIDQ2240572
Valéria Neves Domingos Cavalcanti, Marcelo Moreira Cavalcanti
Publication date: 4 November 2021
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2021-2150
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Remarks on global existence and blowup for damped nonlinear Schrödinger equations
- On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
- Existence and asymptotic stability for evolution problems on manifolds with damping and source terms.
- Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
- Nonlinear boundary feedback stabilization for Schrödinger equations
- Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping
- Stabilization and control for the nonlinear Schrödinger equation on a compact surface
- Asymptotic Stability for the Damped Schrödinger Equation on Noncompact Riemannian Manifolds and Exterior Domains
- Well-posedness and Uniform Stability for Nonlinear Schrodinger Equations with Dynamic/Wentzell Boundary Conditions
- Global solutions of the nonlinear schrödinger equation in exterior domains
- Geometric control in the presence of a black box
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
This page was built for publication: Well-posedness and uniform decay rates for a nonlinear damped Schrödinger-type equation
