论文标题

Wiener Amalgam空间中狄拉克流量的估计

Strichartz estimates for the Dirac flow in Wiener amalgam spaces

论文作者

Kim, Seongyeon, Lee, Hyeongjin, Seo, Ihyeok

论文摘要

在本文中,我们在Wiener Amalgam空间的背景下获得了一些新的Strichartz估计值,这些估计是控制功能的局部规律性及其在Infinity的局部规律性,与$ l^p $空间不同。尽管最近有一些流动的流量,例如在非偏见主义方向上起作用的schrödinger和波浪流,但对于在相对论领域的情况下控制物理体系的狄拉克流量尚无。

In this paper we obtain some new Strichartz estimates for the Dirac flow in the context of Wiener amalgam spaces which control the local regularity of a function and its decay at infinity separately unlike $L^p$ spaces. While it is well understood recently for some flows such as the Schrödinger and wave flows that work in the non-relativistic regime, nothing is known about the Dirac flow which governs a physical system in the case of relativistic fields.

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