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This analysis reveals a nonlinear isomorphism in radiation fields and weighted energy spaces, indicating insights into scattering theory for spin waves.
In this paper, we investigate the scattering theory of half-integer spin waves through radiation fields. We define radiation fields for semi-linear Dirac equations with spinor null forms and establish a nonlinear isomorphism between weighted energy spaces of the initial data and the corresponding radiation field. Our proof is based on a detailed analysis of linear Dirac radiation fields and a well-structured functional framework.
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Jin et al. (2025) studied this question.
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