Radiation fields for semilinear Dirac equations with spinor null forms

Jin Jia; Jiongyue Li

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arXiv · 2312.01962

Radiation fields for semilinear Dirac equations with spinor null forms

Jin Jia·Jiongyue Li

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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.

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Jin Jia, Jiongyue Li. 2023-12-04. Radiation fields for semilinear Dirac equations with spinor null forms. https://arxiv.org/abs/2312.01962

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