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Well-posedness and stability for Schrödinger equations with infinite memory (Q2131159)

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Language	Label	Description	Also known as
English	Well-posedness and stability for Schrödinger equations with infinite memory	scientific article

Statements

scholarly article

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Well-posedness and stability for Schrödinger equations with infinite memory (English)

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Mauricio Sepúlveda

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Marcelo Moreira Cavalcanti

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Valéria Neves Domingos Cavalcanti

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Applied Mathematics and Optimization

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/2102.00331

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zbMATH Keywords

Schrödinger equation

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infinite memory

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well-posedness

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stability

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MaRDI profile type

MaRDI publication profile

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Asymptotic Stability for the Damped Schrödinger Equation on Noncompact Riemannian Manifolds and Exterior Domains

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Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping

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Nonlinear Schrödinger evolution equations

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Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds

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On nonlinear Schrödinger equations in exterior domains

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Exponential stability for the \(2\)-D defocusing Schrödinger equation with locally distributed damping.

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Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization

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Well-posedness and Uniform Stability for Nonlinear Schrodinger Equations with Dynamic/Wentzell Boundary Conditions

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Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation

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Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces

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Finite difference scheme for a higher order nonlinear Schrödinger equation

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Exponential stability for the nonlinear Schrödinger equation with locally distributed damping

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A simple approach to the Cauchy problem for complex Ginzburg-Landau equations by compactness methods

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Asymptotic stability in viscoelasticity

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Stabilization and control for the nonlinear Schrödinger equation on a compact surface

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Stability of Timoshenko systems with past history

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Asymptotic stability of abstract dissipative systems with infinite memory

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Asymptotic behavior for coupled abstract evolution equations with one infinite memory

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Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line

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Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control

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Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation

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Global controllability and stabilization for the nonlinear Schrödinger equation on an interval

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Remarks on global existence and blowup for damped nonlinear Schrödinger equations

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Weakly-damped focusing nonlinear Schrödinger equations with Dirichlet control

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Global existence and open loop exponential stabilization of weak solutions for nonlinear Schrödinger equations with localized external Neumann manipulation

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Well-posedness for nonlinear Schrödinger equations with boundary forces in low dimensions by Strichartz estimates

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Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger equations with inhomogeneous Dirichlet boundary control

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Semigroups of linear operators and applications to partial differential equations

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Exact boundary controllability of the nonlinear Schrödinger equation

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An inhomogeneous boundary value problem for nonlinear Schrödinger equations

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Global solutions of the nonlinear schrödinger equation in exterior domains

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On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions

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On global solutions to the initial-boundary value problem for the damped nonlinear Schrödinger equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00245-022-09864-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2131159

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