Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces
type: Item
instance of: scholarly article
title: Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces
zbMATH Open document ID: 1404.35404
author: Maria R. Astudillo Rojas
author: M. M. Cavalcanti
author: Wellington José Corrêa
author: V. N. Domingos Cavalcanti
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2018-10-25T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6965796
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: damping
MaRDI profile type: Publication
full work available at URL: s00033-018-0985-y
OpenAlex ID: W2860902630
Wikidata QID: Q125776873
cites work: Stabilization of Schrödinger equation in exterior domains
cites work: Smoothing Effect for the Regularized Schrödinger Equation with Non-Controlled Orbits
cites work: Stabilisation Neumann pour l'équation des ondes dans un domaine extérieur. (Neumann stabilization for the wave equation in an exterior domain)
cites work: Smoothing effect for regularized Schrödinger equation on compact manifolds
cites work: Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
cites work: Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
cites work: Exponential stability for the defocusing semilinear Schrödinger equation with locally distributed damping on a bounded domain.
cites work: Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping
cites work: Asymptotic Stability for the Damped Schrödinger Equation on Noncompact Riemannian Manifolds and Exterior Domains
cites work: Q5430046
cites work: Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
cites work: Geometric control in the presence of a black box
cites work: On nonlinear Schrödinger equations in exterior domains
cites work: Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
cites work: Well-posedness and Uniform Stability for Nonlinear Schrodinger Equations with Dynamic/Wentzell Boundary Conditions
cites work: Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation
cites work: Introduction to functional analysis
cites work: Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result
cites work: Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
cites work: Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization
cites work: Exponential stability for the \(2\)-D defocusing Schrödinger equation with locally distributed damping.
cites work: Local Smoothing Properties of Dispersive Equations
cites work: Stabilization and control for the nonlinear Schrödinger equation on a compact surface
cites work: Stabilization and control for the subcritical semilinear wave equation
cites work: Q5749873
cites work: Dispersive estimates for principally normal pseudodifferential operators
cites work: Global Controllability and Stabilization for the Nonlinear Schrödinger Equation on Some Compact Manifolds of Dimension 3
cites work: Global controllability and stabilization for the nonlinear Schrödinger equation on an interval
cites work: Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control
cites work: Q4427734
cites work: Q4464193
cites work: Q4818230
cites work: Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation
cites work: Q4463808
cites work: Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks
cites work: Control of the Schrödinger equation
cites work: Q5549989
cites work: Q5890172
cites work: Well-posedness for nonlinear Schrödinger equations with boundary forces in low dimensions by Strichartz estimates
cites work: Exact Controllability for the Schrödinger Equation
cites work: Q4306164
cites work: Escape Function Conditions for the Observation, Control, and Stabilization of the Wave Equation
cites work: Exponential stabilization for the nonlinear Schrödinger equation with localized damping
cites work: Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger equations with inhomogeneous Dirichlet boundary control
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Decay of solutions to nondissipative hyperbolic systems on compact manifolds
cites work: CONTROL AND STABILIZATION OF THE NONLINEAR SCHRÖDINGER EQUATION ON RECTANGLES
cites work: Exact boundary controllability of the nonlinear Schrödinger equation
cites work: Local Exact Controllability and Stabilizability of the Nonlinear Schrödinger Equation on a Bounded Interval
cites work: Q4332942
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q3601973
cites work: Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
cites work: Q3593004
DOI: 10.1007/S00033-018-0985-Y
description: scientific article; zbMATH DE number 6965796