Wave Seminar The inverse scattering problem for Schr\”{o}dinger and Klein-Gordon equations with a nonlocal nonlinearity II

2006-01-20 16:00 - 2006-01-20 17:30
Faculty of Science Building #4 Room 409
Hironobu Sasaki (Hokkaido Univ.)
In this talk, we consider the inverse scattering problem for thenonlinear Schr\"{o}dinger equation and for the nonlinear Klein-Gordonequation. We first show that there exists the scattering operator undersuitable conditions of the nonlocal nonlinearity. We next give thereconstruct formula for the nonlinear term. The reconstruct formula isexpressed by only the scattering operater and the free solution.