Small data scattering of 2d Hartree type Dirac equations
نویسندگان
چکیده
In this paper, we study the Cauchy problem of 2d Dirac equation with Hartree type nonlinearity c ( | ? ? ? ? ? ? , ? ? ) ? R ? { 0 } < 2 . Our aim is to show small data global well-posedness and scattering in H s for > 1 The difficulty stems from singularity low-frequency part ? ? ? potential. To overcome it adapt U p V space argument bilinear estimates [27] [25] arising null structure. We also provide nonexistence result long-range case
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125549