Radiation fields for semilinear Dirac equations with spinor null forms
Analysis of PDEs
2024-12-31 v3
Abstract
Inthispaper,weinvestigatethescatteringtheoryofhalf-spinwavesthroughtheuse of radiation fields. We define the radiation fields for semilinear Dirac equations with spinor null forms and establish a nonlinear isomorphism between the weighted energy space of initial data and the weighted energy space of radiation fields. The proof relies on a detailed examination of the linear Dirac radiation fields and the use of a suitable functional framework.
Cite
@article{arxiv.2312.01962,
title = {Radiation fields for semilinear Dirac equations with spinor null forms},
author = {Jin Jia and Jiongyue Li},
journal= {arXiv preprint arXiv:2312.01962},
year = {2024}
}
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