ncku-talk2008-05-28

NCKU Math colloquium

DATE 2008-05-28　10:30-11:20

PLACE 數學館 (2F) 3177 教室

SPEAKER 黃秀娟 (博士候選人)（成功大學數學系）

TITLE A Critical Case on the Dirac-Klein-Gordon Equations in One Space Dimension

ABSTRACT Local well-posedness and global well-posedness for the Dirac-Klein-Gordon equations are proven in one space dimension, where initial data $\psi_0\in L^2({\bf R})$ and $\phi_0\in H^{\frac12}({\bf R}),\phi_1\in H^{-\frac12}({\bf R})$. The result fills the gap of Bournaveas and improves Fang's result in 2004. the proof uses a null estimate similar as Fang and bilinear estimates similar as Bournaveas. Moreover our proof relies on an integral representation of linear Dirac and linear wave equations.

NCKU Math colloquium

DATE	2008-05-28　10:30-11:20

PLACE	數學館 (2F) 3177 教室

SPEAKER	黃秀娟 (博士候選人)（成功大學數學系）

TITLE	A Critical Case on the Dirac-Klein-Gordon Equations in One Space Dimension

ABSTRACT	Local well-posedness and global well-posedness for the Dirac-Klein-Gordon equations are proven in one space dimension, where initial data $\psi_0\in L^2({\bf R})$ and $\phi_0\in H^{\frac12}({\bf R}),\phi_1\in H^{-\frac12}({\bf R})$. The result fills the gap of Bournaveas and improves Fang's result in 2004. the proof uses a null estimate similar as Fang and bilinear estimates similar as Bournaveas. Moreover our proof relies on an integral representation of linear Dirac and linear wave equations.