Global attractor for a nonlinear Schrödinger equation with a nonlinearity concentrated in one point
DOI10.3934/dcdss.2021031zbMath1491.37065OpenAlexW3136415473MaRDI QIDQ2063988
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021031
global solutionglobal attractornonlinear Schrödinger equationinfinite-dimensional dynamical systemimpurity concentrated in one point
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)
Cites Work
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- Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect
- Infinite-dimensional dynamical systems in mechanics and physics.
- Global attractors for damped semilinear wave equations.
- Regularity of the attractor for a weakly damped nonlinear Schrödinger equation on \(\mathbb{R}\)
- Strong NLS soliton-defect interactions
- On Schrödinger equations with concentrated nonlinearities
- Long-time behaviour for weakly damped driven nonlinear Schrödinger equations in \(\mathbb{R}^ N, N\leq 3\)
- An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
- Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. I: Basic theory
- The dynamics of some quantum open systems with short-range nonlinearities
- Attractors for non-compact semigroups via energy equations
- Regularity of the attractor for a weakly damped nonlinear schrödinger equation
- Focusing nonlinear schrödinger equation and wave-packet collapse
- Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains
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