Long-range scattering for time-dependent Hartree-Fock type equation

DOI10.1016/S0362-546X(00)00178-4zbMath1002.35111MaRDI QIDQ5952708

Takeshi Wada

Publication date: 7 January 2003

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

zbMATH Keywords

nonlinear Schrödinger equationexistence of scattering solutionsexistence of sufficiently small solutions to the Hartree-Fock equationHartree-Fock approximation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) NLS equations (nonlinear Schrödinger equations) (35Q55) Atomic physics (81V45) Integro-differential operators (47G20)

Related Items (1)

Modified scattering operator for the Hartree-Fock equation

Cites Work

• Nonlinear scattering with nonlocal interaction
• 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
• Scattering theory for time-dependent Hartree-Fock type equation
• Smoothing effect for some Schrödinger equations
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
• Scattering Theory for the Hartree Equation
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