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

Authors

  • A. Besteiro Universidad Abierta Interamericana

DOI:

https://doi.org/10.5540/tcam.2022.023.03.00539

Keywords:

Well-posedness, Zhidkov spaces, Lie--Trotter method

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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Published

2022-09-12

How to Cite

Besteiro, A. (2022). A Note on the Well-Posedness of Control Complex Ginzburg-Landau Equations in Zhidkov Spaces. Trends in Computational and Applied Mathematics, 23(3), 539–547. https://doi.org/10.5540/tcam.2022.023.03.00539

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Section

Original Article