2012 Fiscal Year Final Research Report
Direct and inverse scattering problems for nonlinear dispersive equations with potential
Project/Area Number |
22740082
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Basic analysis
|
Research Institution | Chiba University |
Principal Investigator |
SASAKI Hironobu 千葉大学, 大学院・理学研究科, 准教授 (00568496)
|
Project Period (FY) |
2010 – 2012
|
Keywords | 非線型分散型方程式 |
Research Abstract |
In this study, we consider direct and inverse scattering problems for dispersive equations. By using methods of functional analysis, we obtain results for inverse scattering problems for Hartree equations in three space dimensions, direct and inverse scattering problems for the Klein-Gordon equation in quantum field theory and scattering problems for nonlinear Dirac equations in one space dimension.
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