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On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation

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  • Chunyan Huang

Abstract

We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation in any spatial dimension with rough initial data. For , we prove the analyticity of local solutions to the (generalized) quadratic derivative Ginzburg-Landau equation with large rough initial data in modulation spaces . For , we obtain the analytic regularity of global solutions to the fractional quadratic derivative Ginzburg-Landau equation with small initial data in . The strategy is to develop uniform and dyadic exponential decay estimates for the generalized Ginzburg-Landau semigroup to overcome the derivative in the nonlinear term.

Suggested Citation

  • Chunyan Huang, 2014. "On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, April.
    • Handle: RePEc:hin:jnlaaa:607028
    DOI: 10.1155/2014/607028
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