A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions
Analysis of PDEs
2011-11-22 v3
Abstract
We consider the massive Dirac-Klein-Gordon system in two space dimensions. Under the non-resonace mass condition, we show that the solution is asymptotically free if the initial data are sufficiently small in a suitable weighted Sobolev space. In particular, it turns out that the Dirac component of the DKG system tends to a solution of the free Dirac equation. Our proof is based on the algebraic normal form method.
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Cite
@article{arxiv.1111.0118,
title = {A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions},
author = {Masahiro Ikeda and Akihiro Shimomura and Hideaki Sunagawa},
journal= {arXiv preprint arXiv:1111.0118},
year = {2011}
}
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9 pages