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5. Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H

Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：login_action

【摘 要】

：

Considering the Cauchy problem for the critical complex Ginzburg-Landau equation in H1(Rn), weshall show the asymptotic behavior for its solutions in C(0, ∞; H

【作 者】

：

WANG Baoxiang(王保祥) 

【机 构】

：

DepartmentofMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2003年1期

【关键词】

：

complex GINZBURG-LANDAU equation CRITICAL power in H1 large time decaying esti 

【基金项目】

：

国家自然科学基金

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Considering the Cauchy problem for the critical complex Ginzburg-Landau equation in H1(Rn), weshall show the asymptotic behavior for its solutions in C(0, ∞; H1 (Rn)) ∩ L2(0, ∞; H1,2n/(n-2)(Rn )), n≥ 3.Analogous results also hold in the case that the nonl

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