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Radiation fields for semilinear Dirac equations with spinor null forms
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Radiation fields for semilinear Dirac equations with spinor null forms
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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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Cited by 1 Pith paper
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On the local existence for the characteristic initial value problem for the Einstein-Dirac system
A claimed local existence theorem for the characteristic initial value problem of the Einstein-Dirac system, with most proof steps deferred to an unpublished companion.
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