| 关于弱耦合发展方程组 |
| |
| 引用本文： | 杨灵娥.关于弱耦合发展方程组[J].中南大学学报(自然科学版),1990(6). |
| |
| 作者姓名： | 杨灵娥 |
| |
| 作者单位： | 中南矿冶学院应用数学力学系 |
| |
| 摘 要： | 本文我们考虑了一类相当广泛的弱耦合发展方程组的具有齐次Dirichlet边界条件的初边值问题。当方程组是次线性时,利用Galerkin方法我们证明了对任意的初值都存在着整体弱解;当方程组是超线性时,利用凸性理论,我们证明了若初始能量小于零,则局部弱解必在有限时间内爆破。
|
| 关 键 词： | 方程组 弱耦合理论 非线性 存在性 鼓涨 |
ON THE SYSTEM OF WEAKLY COUPLED EVOLUTION EQUATIONS |
| |
| Yang Linge.ON THE SYSTEM OF WEAKLY COUPLED EVOLUTION EQUATIONS[J].Journal of Central South University:Science and Technology,1990(6). |
| |
| Authors: | Yang Linge |
| |
| Institution: | Yang Linge Department of Applied Mathematics and Mechanics |
| |
| Abstract: | In this peper, we consider the initial boundary value problem with the homogeneous boundarycondition for the generalized systam of weakly coupled evolution equations. If the nonlinearity is sub-linear, by employing Galerkin's method, it is proved that there exists a global solution for all initial val-ues; if the nonlinearity is superlinear, by using concave arguement, it is proved that if the initial energyis below zero, then the local solutions will blow up in a finite time interval. |
| |
| Keywords: | system of equation weakly coupling theory non-linearity existence blow up |
| 本文献已被 CNKI 等数据库收录！ |
|
