A note on the well-posedness of control complex Ginzburg-Landau equations in Zhidkov spaces

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Date
2022
Authors
Besteiro, Agustín Tomás
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Publisher
Brazilian Society of Applied and Computational Mathematics (SBMAC)
Abstract
In this note, we consider the Complex Ginzburg-Landau equations with a bilinear control term in the real line. We prove well-posedness results concerned with the initial value problem for these equations in Zhidkov spaces using splitting methods.
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Keywords
well-posedness, Zhidkov spaces, Lie-Trotter method
Citation
Besteiro, A. (2022). A note on the well-posedness of control complex Ginzburg-Landau equations in Zhidkov spaces. En: Trends in Computational and Applied Mathematics 23(3):539-547