On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation
From MaRDI portal
Publication:558445
DOI10.4310/DPDE.2004.v1.n1.a1zbMath1082.35144arXivmath/0309428OpenAlexW2005787790WikidataQ115205028 ScholiaQ115205028MaRDI QIDQ558445
Publication date: 6 July 2005
Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0309428
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99)
Related Items
On the focusing generalized Hartree equation ⋮ Scattering for mass-resonance nonlinear Schrödinger system in 5D ⋮ Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions ⋮ Scattering for the non-radial inhomogenous biharmonic NLS equation ⋮ Scattering for 3D cubic focusing NLS on the domain outside a convex obstacle revisited ⋮ Focusing NLS with inverse square potential ⋮ Scattering below ground state of focusing fractional nonlinear Schrödinger equation with radial data ⋮ Scattering for a focusing Hartree equation ⋮ Invariant Measures and the Soliton Resolution Conjecture ⋮ Nonscattering solutions and blowup at infinity for the critical wave equation ⋮ Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases ⋮ Below and beyond the mass-energy threshold: scattering for the Hartree equation with radial data in \(d \ge 5\) ⋮ Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation ⋮ Focusing nonlinear Hartree equation with inverse‐square potential ⋮ Scattering threshold for a focusing inhomogeneous non-linear Schrödinger equation with inverse square potential ⋮ A new proof of scattering below the ground state for the 3d radial focusing cubic NLS ⋮ Scattering for three waves nonlinear Schrödinger system with mass-resonance in 5D ⋮ Energy scattering for non-radial inhomogeneous fourth-order Schrödinger equations ⋮ Global dynamics below the ground state for the focusing Schrödinger equation with a potential ⋮ Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity ⋮ On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\) ⋮ The non-radial focusing inhomogeneous coupled Schrödinger systems in three space dimensions ⋮ Long‐time dynamics for the radial focusing fractional INLS ⋮ Scattering theory for a class of radial focusing inhomogeneous Hartree equations ⋮ Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces ⋮ Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation ⋮ On local energy decay for large solutions of the Zakharov-Kuznetsov equation ⋮ The Cauchy problem of the nonlinear Schrödinger equations in \(\mathbb R^{1+1}\) ⋮ Scattering profile for global solutions of the energy-critical wave equation ⋮ A Strichartz Inequality for the Schrödinger Equation on Nontrapping Asymptotically Conic Manifolds ⋮ Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five ⋮ Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations ⋮ Long Time Dynamics of Nonradial Solutions to Inhomogeneous Nonlinear Schrödinger Equations ⋮ A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation ⋮ Scattering for the 5D quadratic NLS system without mass-resonance ⋮ Energy scattering for the focusing fractional generalized Hartree equation ⋮ A new proof of scattering theory for the 3D radial focusing energy-critical NLS with combined terms ⋮ Energy-critical nonlinear Schrödinger equation with inverse square potential and subcritical perturbation ⋮ A compactness result for inhomogeneous nonlinear Schrödinger equations ⋮ The Sobolev-Morawetz approach for the energy scattering of nonlinear Schrödinger-type equations with radial data ⋮ Asymptotics for a class of bi-harmonic coupled Schrödinger equations ⋮ Why are solitons stable? ⋮ Dynamics of some coupled nonlinear Schrödinger systems in ⋮ A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS ⋮ Inverse Scattering Transform for the Defocusing Manakov System with Non-Parallel Boundary Conditions at Infinity ⋮ A simple proof of scattering for the intercritical inhomogeneous NLS
