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Global Well-Posedness for a Nonlinear Wave Equation Coupled to the Dirac Sea
Author(s) -
Julien Sabin
Publication year - 2014
Publication title -
applied mathematics research express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.763
H-Index - 20
eISSN - 1687-1200
pISSN - 1687-1197
DOI - 10.1093/amrx/abu004
Subject(s) - dirac equation , nonlinear system , wave equation , dirac (video compression format) , dirac sea , klein–gordon equation , rank (graph theory) , mathematics , operator (biology) , two body dirac equations , mathematical analysis , mathematical physics , physics , dirac fermion , quantum mechanics , fermion , chemistry , biochemistry , repressor , combinatorics , transcription factor , neutrino , gene
We prove the global well-posedness and we study the linear response for a system of two coupled equations composed of a Dirac equation for an infinite rank operator and a nonlinear wave or Klein-Gordon equation.

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