On radial solutions of semi-relativistic Hartree equations

DOI10.3934/dcdss.2008.1.71zbMath1147.35077OpenAlexW1971732179MaRDI QIDQ932384

Yonggeun Cho, Tohru Ozawa

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.3934/dcdss.2008.1.71

zbMATH Keywords

global well-posednessradially symmetric solutionsemi-relativistic Hartree type equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Nonlinear evolution equations (47J35)

Related Items (7)

Concentration for blow-up solutions of semi-relativistic Hartree equations of critical type ⋮ 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 ⋮ Estimates for the kinetic transport equation in hyperbolic Sobolev spaces ⋮ Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension ⋮ Stable solitary waves for pseudo-relativistic Hartree equations with short range potential ⋮ Low regularity well-posedness of Hartree type Dirac equations in 2, 3-dimensions

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