| Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H~1 |
| |
| 作者姓名： | 王保祥 |
| |
| 作者单位： | Department of |
| |
| 基金项目： | This work was supported in part by the National Natural Science Foundation of China (Grant No. 19901007). |
| |
| 摘 要： | Considering the Cauchy problem for the critical complex Ginzburg-Landau equation in H1 (Kn), we shall show the asymptotic behavior for its solutions inAnalogous results also hold in the case that the nonlinearity has the subcritical power in H1(Rn), n≥1.
|
Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H1 |
| |
| WANG Baoxiang.Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H~1[J].Science in China(Mathematics),2003,46(1). |
| |
| Authors: | WANG Baoxiang |
| |
| Institution: | Department of Mathematics, Peking University, Beijing 100871, China |
| |
| Abstract: | 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 nonlinearity has the subcritical power in H1(Rn), n≥ 1. |
| |
| Keywords: | complex Ginzburg-Landau equation critical power in H1 large time decaying esti-mate time-space LP-LP' estimate at endpoint |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
