Abstract
We consider the Ginzburg-Landau-Chern-Simons model with defocusing or focusing potential. For the model with defocusing potential, the existence of global in time solution is shown for the $H^1(\mathbb{R}^2)$ initial data. For the model with focusing potential, the nonexistence of global solution can be shown for the initial data with negative energy.
Citation
Hyungjin Huh. "Remarks on the Ginzburg-Landau-Chern-Simons equations." Differential Integral Equations 34 (7/8) 337 - 350, July/August 2021. https://doi.org/10.57262/die034-0708-337
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