标题： (2+1)维Maxwell-Chern-Simons-Higgs方程的整体存在性和唯一性 显示英文标题

标题： The Global Existence and Uniqueness of Maxwell-Chern-Simons-Higgs Equation in (2+1) Dimensions

摘要： 本文中，我们证明了在(2+1)维闵可夫斯基时空上，与具有非平凡标量势的中性标量耦合的Maxwell-Chern-Simons-Higgs系统的经典解的整体存在性和唯一性。 我们的方法仅依赖于经典的适定性理论，包括能量估计、Sobolev不等式以及Coulomb规范条件的选择。 对于有限初始数据，方程组是适定的，并且解保留了数据中任意额外的 $H^{s}$ 正则性下的 $s>0$ 正则性。 显示英文摘要

摘要： In this paper, we show the global existence and uniqueness of classical solutions of the Maxwell-Chern-Simmons-Higgs system coupled to a neutral scalar with nontrivial scalar potential on (2+1) dimensional Minkowski spacetime. Our methods rely only on classical existence theorems, including energy estimates, the Sobolev inequality, and the choice of the Coulomb gauge condition. The equations are well-posed for finite initial data and the solution preserves any additional $H^{s}$ regularity for $s>0$ in the data.