Modified scattering operator for the Hartree-Fock equation

DOI10.1016/j.na.2011.08.023zbMath1227.35228OpenAlexW1977882233MaRDI QIDQ644192

Masahiro Ikeda

Publication date: 3 November 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.023

zbMATH Keywords

scattering problemHartree-Fock equationmodified wave operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) (n)-body potential quantum scattering theory (81U10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity
• Existence of solutions for Schrödinger evolution equations
• Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
• On a class of non linear Schrödinger equations with non local interactions
• Long range scattering and modified wave operators for the Maxwell-Schrödinger system. I: The case of vanishing asymptotic magnetic field
• Smoothing effect for some Schrödinger equations
• On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
• Long range scattering and modified wave operators for the Maxwell-Schrödinger system. II: The general case
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Commutator estimates and the euler and navier-stokes equations
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
• Scattering Theory for the Hartree Equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Long-range scattering for time-dependent Hartree-Fock type equation

This page was built for publication: Modified scattering operator for the Hartree-Fock equation