| 摘要: |
| 在一维空间中,利用能量等式、Hardy不等式、Nirenberg不等式,讨论一个广义薄膜方程的初边值问题扰动的有限传播,得到方程解的支集传播的有限性. |
| 关键词: 薄膜方程 弱解 扰动 有限传播 |
| DOI： |
| 投稿时间：2012-02-07修订日期：2012-02-23 |
| 基金项目: |
|
| A Finite Propagation of Perturbations of Weak Solutions for the Generalized Thin Film Equation |
|
GUO Jin-yong
|
| (Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
| Abstract: |
| We consider an initial-boundary value problem for the generalized thin film equation in one space dimension.A finite propagation of perturbations of weak solutions is discussed by using the energy equality, Hardy inequality and Nirenberg inequality. |
| Key words: thin film equation weak solution perturbations finite propagation |
