Polynomial complex Ginzburg-Landau equations in Zhidkov spaces

A. Besteiro
Instituto de Matematica Luis Santalo, CONICET-UBA Ciudad Universitaria, Pabellon I Buenos Aires, Argentina
We consider the so-called Complex Ginzburg-Landau equations with a polynomial nonlin- earity in the real line. We prove existence results concerned with the initial value problem for these equations in Zhidkov spaces with a new approach using Splitting methods.
well-posedness; Zhidkov spaces; LieTrotter method
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