Global solution to Maxwell-Dirac equations in 1+1 dimensions

作者：You Aiguo; Zhang Yongqian^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2014, 98: 226-236.

DOI：10.1016/j.na.2013.12.014

• Maxwell-Dirac equations
• Global solution
• Charge mass
• Arzela-Ascoli

The Maxwell-Dirac equations with nonzero charge mass in one space dimension are studied under the Lorenz gauge condition. The global existence and uniqueness of the solution in (L-loc(2)(R-+(2)))(2) x (L-loc(infinity)(R-+(2)))(2) for an initial value problem of Maxwell-Dirac equations are proved.

• 出版日期2014-3
• 单位复旦大学