Open AccessSmall global solutions and the nonrelativistic limit for the nonlinear Dirac equation
Author(s) -
Shuji Machihara,
Kenji Nakanishi,
Tohru Ozawa
Publication year - 2003
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/342
Subject(s) - mathematics , limit (mathematics) , dirac equation , dirac (video compression format) , nonlinear system , mathematical physics , mathematical analysis , quantum mechanics , physics , neutrino
In this paper we study the Cauchy problem for the nonlinear Dirac equation in the Sobolev space Hs. We prove the existence and uniqueness of global solutions for small data in Hs with s > 1...
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