Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.

Machihara, Shuji, Nakanishi, Kenji, and Ozawa, Tohru. "Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.." Revista Matemática Iberoamericana 19.1 (2003): 179-194. <http://eudml.org/doc/39690>.

@article{Machihara2003,
abstract = {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 &gt; 1...},
author = {Machihara, Shuji, Nakanishi, Kenji, Ozawa, Tohru},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuación de Dirac; Ecuaciones en derivadas parciales no lineales; Problema de Cauchy; Teorema de existencia; Unicidad; Ecuaciones diferenciales hiperbólicas; Cauchy problem; Dirac equation; Strichartz estimate; Klein-Gordon equations; nonlinear Schrödinger equation},
language = {eng},
number = {1},
pages = {179-194},
title = {Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.},
url = {http://eudml.org/doc/39690},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Machihara, Shuji
AU - Nakanishi, Kenji
AU - Ozawa, Tohru
TI - Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 1
SP - 179
EP - 194
AB - 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 &gt; 1...
LA - eng
KW - Ecuación de Dirac; Ecuaciones en derivadas parciales no lineales; Problema de Cauchy; Teorema de existencia; Unicidad; Ecuaciones diferenciales hiperbólicas; Cauchy problem; Dirac equation; Strichartz estimate; Klein-Gordon equations; nonlinear Schrödinger equation
UR - http://eudml.org/doc/39690
ER -