On the existence of solutions to time-dependent Hartree-Fock equations

DOI10.2977/prims/1195182978zbMath0526.35073OpenAlexW1972058571MaRDI QIDQ595123

Hiroshi Isozaki

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182978

zbMATH Keywords

existencenonlinear Schrödinger equationunique global solutiontime-dependent Hartree-Fock equations

Mathematics Subject Classification ID

Related Items (5)

New \(L^ p\)-estimates for solutions to the Schrödinger equations and time asymptotic behavior of observables ⋮ The Dirac-Frenkel principle for reduced density matrices, and the Bogoliubov-de Gennes equations ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Time-dependent methods in inverse scattering problems for the Hartree-Fock equation ⋮ Uniqueness on identification of cubic convolution nonlinearity

Cites Work

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• An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction
• Abstract non linear wave equations
• Non-linear semi-groups
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations

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