| 奇数维空间中耗散波方程解的L~p估计 |
| |
| 引用本文： | 李念英,薛学军. 奇数维空间中耗散波方程解的L~p估计[J]. 滨州学院学报, 2011, 27(3): 30-34 |
| |
| 作者姓名： | 李念英 薛学军 |
| |
| 作者单位： | 1. 滨州学院数学与信息科学系,山东滨州,256603
2. 东营职业学院教育系,山东东营,257091 |
| |
| 基金项目： | 国家自然科学基金项目，滨州学院科研基金资助项目 |
| |
| 摘 要： | 考虑奇数维空间中耗散波方程的柯西问题,用格林函数的方法得到解的逐点估计,进而得到解的Lp估计,柯西问题的解呈现出广义惠更斯原理.
|
| 关 键 词： | 黏性波方程 Lp估计 逐点估计 格林函数 |
Lp Estimates for the Dissipative Wave Equation in Odd Spatial Dimention |
| |
| LI Nian-ying,XUE Xue-jun. Lp Estimates for the Dissipative Wave Equation in Odd Spatial Dimention[J]. Journal of Binzhou University, 2011, 27(3): 30-34 |
| |
| Authors: | LI Nian-ying XUE Xue-jun |
| |
| Affiliation: | LI Nian-ying1,XUE Xue-jun2(1.Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China,2.Department of Education,Dongying Vocational College,Dongying 257091,China) |
| |
| Abstract: | We study the Cauchy problem for the dissipative wave equation in odd spatial dimention.By using the method of Green＇s function,we obtain the pointwise estimates of the solution,which yields the Lp estimates of the solution.The solution of the Cauchy problem exhibits some generalized Huyghens principle. |
| |
| Keywords: | viscous wave equation Lp estimate pointwise estimate Green＇s function. |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
