Open AccessGlobal Strong Solutions to Some Nonlinear Dirac Equations in Super-Critical Space
Author(s) -
Hyungjin Huh
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/602753
Subject(s) - algorithm , computer science
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. Theuniqueness of weak solutions is proved for the solution U∈L∞0,T; Ym+2ℝ
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