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arXiv · 2502.03733

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

Mulyanto·Ardian N. Atmaja·Fiki T. Akbar·Bobby E. Gunara
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Abstract

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.

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Mulyanto, Ardian N. Atmaja, Fiki T. Akbar, Bobby E. Gunara. 2025-02-06. The Global Existence and Uniqueness of Maxwell-Chern-Simons-Higgs Equation in (2+1) Dimensions. https://arxiv.org/abs/2502.03733

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