Small data scattering for semi-relativistic equations with Hartree type nonlinearity

DOI10.1016/j.jde.2015.06.037zbMath1321.35178arXiv1412.1626OpenAlexW1783437390MaRDI QIDQ491908

Achenef Tesfahun, Sebastian Herr

Publication date: 19 August 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1626

zbMATH Keywords

scatteringStrichartz estimatesHartree type nonlinearity

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)

Related Items (14)

Small data scattering of semirelativistic Hartree equation ⋮ Concentration for blow-up solutions of semi-relativistic Hartree equations of critical type ⋮ On small data scattering of Hartree equations with short-range interaction ⋮ Scattering results for Dirac Hartree-type equations with small initial data ⋮ Scattering and Nonscattering of the Hartree-Type Nonlinear Dirac System at Critical Regularity ⋮ The modified scattering for Dirac equations of scattering-critical nonlinearity ⋮ Small Data Scattering for Cubic Dirac Equation with Hartree Type Nonlinearity in $\mathbb{R}^{1+3}$ ⋮ Small data scattering of 2d Hartree type Dirac equations ⋮ Unnamed Item ⋮ Energy concentration of the focusing energy-critical fNLS ⋮ The time fractional Schrödinger equation with a nonlinearity of Hartree type ⋮ Improved error bounds of the Strang splitting method for the highly oscillatory fractional nonlinear Schrödinger equation ⋮ Initial value problems for nonlinear dispersive equations at critical regularity ⋮ Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures

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