Radiation fields for semilinear Dirac equations with spinor null forms
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912170897309696 |
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| author | Jia, Jin Li, Jiongyue |
| author_facet | Jia, Jin Li, Jiongyue |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01962 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Radiation fields for semilinear Dirac equations with spinor null forms Jia, Jin Li, Jiongyue Analysis of PDEs 35B40 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. |
| title | Radiation fields for semilinear Dirac equations with spinor null forms |
| topic | Analysis of PDEs 35B40 |
| url | https://arxiv.org/abs/2312.01962 |