Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly

DOI10.1016/J.JDE.2011.07.022zbMath1230.35131arXiv1108.1450OpenAlexW1978546115MaRDI QIDQ652513

Hironobu Sasaki

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1450

zbMATH Keywords

Schrödinger equationinteraction potentialinverse scatteringHartree equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40)

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Cites Work

• Unnamed Item
• Unnamed Item
• The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity
• On small data scattering with cubic convolution nonlinearity
• Nonlinear scattering theory at low energy: Sequel
• Uniqueness in the inverse scattering problem for Hartree type equation
• \(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
• Uniqueness on identification of cubic convolution nonlinearity
• Inverse scattering for the non-linear Schrödinger equation: Reconstruction of the potential and the non-linearity
• Inverse scattering for the nonlinear Schrödinger equation II. Reconstruction of the potential and the nonlinearity in the multidimensional case
• Scattering for the forced non-linear Schrödinger equation with a potential on the half-line
• The forced non-linear Schrödinger equation with a potential on the half-line
• Inverse scattering problem for time dependent Hartree-Fock equations in the three-body case
• Inverse Scattering for the Nonlinear Schrödinger Equation with the Yukawa Potential
• Inverse scattering for the nonlinear schrodinger equation
• Reconstruction of the Hartree-type nonlinearity
• Inverse scattering of the nonlinear Schrödinger equation with cubic convolution nonlinearity

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