论文信息 - A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions (Harmonic Analysis and Nonlinear Partial Differential Equations)

A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions (Harmonic Analysis and Nonlinear Partial Differential Equations)

We consider the massive Dirac-Klein-Gordon system in two space dimensions. Under the non-resonance 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.

M. Ikeda | A. Shimomura | Hideaki Sunagawa

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