We present an $L^1$-asymptotic completeness results for relativistic kinetic equations with short range interaction forces. We show that the uniform phase space-time bound for nonlinear terms to the relativistic nonlinear kinetic equations yields the asymptotic completeness of the relativistic kinetic equations. For this space-time bound, we employ dispersive estimates and explicit construction of a Lyapunov functional.
Publié le : 2007-09-15
Classification:
Asymptotic completeness,
relativistic kinetic equation,
the Vlasov-Yukawa equation,
the Klein-Gordon equation,
35L45,
70K20,
70K40
@article{1224877826,
author = {Ha, Seung-Yeal and Kim, Yong Duck and Lee, Ho and Noh, Se Eun},
title = {Asymptotic Completeness for Relativistic Kinetic Equations with Short-range Interaction Forces},
journal = {Methods Appl. Anal.},
volume = {14},
number = {1},
year = {2007},
pages = { 251-262},
language = {en},
url = {http://dml.mathdoc.fr/item/1224877826}
}
Ha, Seung-Yeal; Kim, Yong Duck; Lee, Ho; Noh, Se Eun. Asymptotic Completeness for Relativistic Kinetic Equations with Short-range Interaction Forces. Methods Appl. Anal., Tome 14 (2007) no. 1, pp. 251-262. http://gdmltest.u-ga.fr/item/1224877826/