On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-16
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation (1/2⩽α⩽1) in any spatial dimension n⩾1 with rough initial data.
For 1/2<α⩽1, we prove the analyticity of local solutions to the (generalized) quadratic derivative Ginzburg-Landau equation with large rough initial data in modulation spaces Mp,11-2α(1⩽p⩽∞).
For α=1/2, we obtain the analytic regularity of global solutions to the fractional quadratic derivative Ginzburg-Landau equation with small initial data in B˙∞,10(ℝn)∩M∞,10(ℝn).
The strategy is to develop uniform and dyadic exponential decay estimates for the generalized Ginzburg-Landau semigroup e-a+it-Δα to overcome the derivative in the nonlinear term.
American Psychological Association (APA)
Huang, Chunyan. 2014. On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014323
Modern Language Association (MLA)
Huang, Chunyan. On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014323
American Medical Association (AMA)
Huang, Chunyan. On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014323
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014323