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arXiv · 2308.09024

On Dirac equations with Hartree type nonlinearity in modulation spaces

Seongyeon Kim·Hyeongjin Lee·Ihyeok Seo
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Abstract

We obtain the local well-posedness for Dirac equations with a Hartree type nonlinearity derived by decoupling the Dirac-Klein-Gordon system. We extend the function space of initial data, enabling us to handle initial data that were not addressed in previous studies.

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Seongyeon Kim, Hyeongjin Lee, Ihyeok Seo. 2023-08-17. On Dirac equations with Hartree type nonlinearity in modulation spaces. https://arxiv.org/abs/2308.09024

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