| 摘要: |
| 利用能量等式、Hardy不等式及Nirenberg不等式,讨论一个非线性四阶抛物方程的初边值问题解的有限传播,得到方程解的传播速度的有限性. |
| 关键词: 非线性 四阶抛物方程 有限传播速度 |
| DOI：10.13656/j.cnki.gxkx.20140430.001 |
| 投稿时间：2014-04-10修订日期：2014-05-10 |
| 基金项目:广西教育厅科研项目(201204LX502)资助。 |
|
| The Finite Speed of Propagation for a Nonlinear Fourth Order Parabolic Equation |
|
ZHU Bao-xiang, 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 nonlinear fourth order equation.The finite speed of propagation of weak solutions is discussed by using the energy equality, Hardy inequality and Nirenberg inequality. |
| Key words: nonlinear fourth order parabolic equation finite speed of propagation |
