Remarks on the semirelativistic Hartree equations

DOI10.3934/dcds.2009.23.1277zbMath1156.35451OpenAlexW2033786676MaRDI QIDQ1004349

Tohru Ozawa, Hironobu Sasaki, Yonggeun Cho, Yong-Sun Shim

Publication date: 3 March 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.23.1277

zbMATH Keywords

radial solutionsscatteringglobal well-posednesssemirelativistic Hartree type equations

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) Quantum scattering theory (81U99)

Related Items (12)

Optimal constants and extremisers for some smoothing estimates ⋮ Small data scattering of semirelativistic Hartree equation ⋮ Higher-order Schrödinger and Hartree–Fock equations ⋮ Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions ⋮ The boson star equation with initial data of low regularity ⋮ Modified scattering for the boson star equation ⋮ Small Data Scattering for Cubic Dirac Equation with Hartree Type Nonlinearity in $\mathbb{R}^{1+3}$ ⋮ Small data scattering for semi-relativistic equations with Hartree type nonlinearity ⋮ Small data scattering of 2d Hartree type Dirac equations ⋮ Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension ⋮ Dynamical boson stars ⋮ Dynamical boson stars

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