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Articles • Trends Comput. Appl. Math. 23 (3) • Jul-Sep 2022 • https://doi.org/10.5540/tcam.2022.023.03.00539   copy

A Note on the Well-Posedness of Control Complex Ginzburg-Landau Equations in Zhidkov Spaces

Authorship SCIMAGO INSTITUTIONS RANKINGS

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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