A Note on the Well-Posedness of Control Complex Ginzburg-Landau Equations in Zhidkov Spaces
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.
Keywords
Well-posedness; Zhidkov spaces; Lie--Trotter method
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PDFDOI: https://doi.org/10.5540/tcam.2022.023.03.00539
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Trends in Computational and Applied Mathematics
A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
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