global strong solutions to some nonlinear dirac equations in
super-critical space
;Hyungjin Huh
science and technology of advanced materials2013Vol. 2013pp. -
84
huh2013abstractglobal
Abstract
We study the initial value problem of some nonlinear Dirac equations which are Lmℝ critical. Corresponding to the structure of nonlinear terms, global strong solutions can be obtained in different Lebesgue spaces by using solution representation formula. The
uniqueness of weak solutions is proved for the solution U∈L∞0,T; Ym+2ℝ.