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arXiv · 2312.07880

Cubic Dirac equations with a class of large data

Shijie Dong·Kuijie Li·Jingya Zhao
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Abstract

We are interested in massless cubic Dirac equations in two and three space dimensions, known as the Soler model. The solution to this model is known as a wave function, which has the unit $L^2$ norm. We aim to show global existence and asymptotic behavior for the cubic Dirac model with a class of initial data that can be large in $L^2$.

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Shijie Dong, Kuijie Li, Jingya Zhao. 2023-12-13. Cubic Dirac equations with a class of large data. https://arxiv.org/abs/2312.07880

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