The inverse scattering problem for Schrödinger and Klein–Gordon equations with a nonlocal nonlinearity-Reference-Cited by-同舟云学术

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The inverse scattering problem for Schrödinger and Klein–Gordon equations with a nonlocal nonlinearity

Published:2007-04 Issue:8 Volume:66 Page:1770-1781
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Sasaki Hironobu

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference24 articles.

1. Inverse scattering problem for the nonlinear Klein–Gordon equation;Bachelot,1983

2. Interpolation spaces;Bergh,1976

3. Global existence of solutions to the Cauchy problem for time dependent Hartree equations;Chadam;J. Math. Phys.,1975

4. The global Cauchy problem for the non linear Klein–Gordon equation;Ginibre;Math. Z.,1985

5. Scattering theory for Hartree type equations;Hayashi;Ann. Inst. Henri Poincaré Phys. Theor.,1987

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On inverse scattering for the two-dimensional nonlinear Schrödinger equation;Journal of Differential Equations;2024-08

2. Stability estimates for the recovery of the nonlinearity from scattering data;Pure and Applied Analysis;2024-02-22

3. Recovery of the Nonlinearity From the Modified Scattering Map;International Mathematics Research Notices;2023-10-31

4. Recovery of a spatially-dependent coefficient from the NLS scattering map;Communications in Partial Differential Equations;2023-08-03

5. The scattering map determines the nonlinearity;Proceedings of the American Mathematical Society;2023-03-03

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