PDE Seminar Convergence of scattering operators for the KleinGordon equation with a nonlocal nonlinearity
 Date

20060605 16:30 
20060605 17:30
 Place
 Faculty of Science Building #8 Room 309

Speaker/Organizer
 Hironobu Sasaki (Hokkaido Univ.)

 We consider the scattering problems for two types of nonlinearKleinGordon equations. One is the equation of the Hartree type,and the other one is the equation with power nonlinearity.In this talk, we show that the scattering operator for the equationof the Hartree type converges to that for the one with powernonlinearity in some sense. Our proof is based on some inequalitiesin the Lorentz space, and a strong limit of Riesz potentials.
http://coe.math.sci.hokudai.ac.jp/sympo/pde/index_en.html