On Global Existence of 3D Charge Critical Dirac–Klein–Gordon System
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Publication:3458761
DOI10.1093/IMRN/RNV010zbMath1333.35224arXiv1311.6068OpenAlexW1999396610WikidataQ60111020 ScholiaQ60111020MaRDI QIDQ3458761
Publication date: 23 December 2015
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.6068
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field ⋮ CONDITIONAL LARGE INITIAL DATA SCATTERING RESULTS FOR THE DIRAC–KLEIN–GORDON SYSTEM ⋮ Global solution to the 3D Dirac-Klein-Gordon system with uniform energy bounds ⋮ Scattering and Nonscattering of the Hartree-Type Nonlinear Dirac System at Critical Regularity ⋮ Global behavior of small data solutions for the 2D Dirac–Klein-Gordon system ⋮ Stationary States of Dirac--Klein--Gordon Systems with Nonlinear Interacting Terms ⋮ Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system ⋮ On global well-posedness and scattering for the massive Dirac-Klein-Gordon system ⋮ Low regularity well-posedness of Hartree type Dirac equations in 2, 3-dimensions ⋮ On the radius of spatial analyticity for solutions of the Dirac-Klein-Gordon Equations in two space dimensions
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