global strong solutions to some nonlinear dirac equations in super-critical space

global strong solutions to some nonlinear dirac equations in super-critical space

;Hyungjin Huh
science and technology of advanced materials 2013 Vol. 2013 pp. -
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.

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217288
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10.1155/2013/602753
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