On a nonlinear Schrödinger-Hartree evolution equation in the critical case

DOI10.1134/S1064562409040395zbMath1187.35242OpenAlexW2084368996MaRDI QIDQ845176

N. E. Zubov

Publication date: 5 February 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409040395

zbMATH Keywords

Cauchy problemground statenonlinear Schrödinger-Hartree 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)

Cites Work

• An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction
• Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations
• On a class of non linear Schrödinger equations with non local interactions
• On a nonlinear evolution Schrödinger-Hartree equation
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
• Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions

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