Uniqueness on identification of cubic convolution nonlinearity

DOI10.1016/J.JMAA.2005.01.031zbMath1088.35055OpenAlexW2033293233MaRDI QIDQ2567311

Yanyan Li

Publication date: 29 September 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69464

zbMATH Keywords

nonlinear Klein-Gordon equationinverse scatteringnonlinear scatteringHartree equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40)

Related Items (7)

The scattering map determines the nonlinearity ⋮ The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity ⋮ Stability estimates for the recovery of the nonlinearity from scattering data ⋮ 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 problems for the Hartree equation whose interaction potential decays rapidly ⋮ Time-dependent methods in inverse scattering problems for the Hartree-Fock equation

Cites Work

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• 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
• Inverse scattering for the nonlinear schrodinger equation
• Reconstruction of the Hartree-type nonlinearity
• On a nonlinear scattering operator

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