On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential (Q5242190)

scientific article; zbMATH DE number 7126917

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English	On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential	scientific article; zbMATH DE number 7126917

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instance of

scholarly article

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title

On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential (English)

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SIAM Journal on Mathematical Analysis

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publication date

6 November 2019

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full work available at URL

https://arxiv.org/abs/1904.11869

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zbMATH Keywords

Schrödinger equation

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standing waves

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stability

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MaRDI profile type

MaRDI publication profile

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cites work

Existence of dynamics for a 1D NLS equation perturbed with a generalized point defect

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$C_0$-groups, commutator methods and spectral theory of $N$-body Hamiltonians

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Scattering for NLS with a delta potential

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Functional analysis, Sobolev spaces and partial differential equations

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Q4434430

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On small energy stabilization in the NLS with a trapping potential

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Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data

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Perturbation theory for infinite-dimensional integrable systems on the line. A case study

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Q4343199

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Classification of the radial solutions of the focusing, energy-critical wave equation

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Nonlinear Schrödinger equation with a point defect

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The nonlinear Schrödinger equation with a potential

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Strong NLS soliton-defect interactions

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Q4663127

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Breathing patterns in nonlinear relaxation

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Slow solution interaction with delta imperiums

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Soliton splitting by external delta potentials

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Fast soliton scattering by delta impurities

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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Asymptotic stability of ground states in 3D nonlinear Schrödinger equation including subcritical cases

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Asymptotic stability of ground states in 2D nonlinear Schrödinger equation including subcritical cases

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Q4665139

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Global attraction to solitary waves for Klein-Gordon equation with mean field interaction

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Global Attraction to Solitary Waves for a Nonlinear Dirac Equation with Mean Field Interaction

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On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators

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Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space

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Nonexistence of small, odd breathers for a class of nonlinear wave equations

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Global dynamics below the standing waves for the focusing semilinear Schrödinger equation with a repulsive Dirac delta potential

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Asymptotic stability of solitons of the gKdV equations with general nonlinearity

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Asymptotic stability of solitary waves for the $1d$ NLS with an attractive delta potential

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Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential

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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential

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Backlund Transformation and L2-stability of NLS Solitons

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Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential

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Blow-up of $H^ 1$ solution for the nonlinear Schrödinger equation

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Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations

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Q4185363

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Some improvements in the method of the weakly conjugate operator

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Multichannel nonlinear scattering for nonintegrable equations

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Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data

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Nonlinear scattering theory at low energy

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A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential

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Identifiers

zbMATH Open document ID

1428.35430

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DOI

10.1137/19M1258402

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5242190