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| 非齐次A - Dirac方程的Caccioppoli估计 | |
| 引用本文： | 包革军,曹振华,朱海静. 非齐次A - Dirac方程的Caccioppoli估计[J]. 黑龙江大学自然科学学报, 2011, 28(5): 604-607,617 |
| 作者姓名： | 包革军 曹振华 朱海静 |
| 作者单位： | 1. 哈尔滨工业大学数学系,哈尔滨,150001 2. 江西师范大学数学系,南昌,330022 3. 山东轻工学院数理学院,济南,250353 |
| 基金项目： | Supported by the Natural Science Foundation of China(11071048) |
| 摘 要： | 非齐次A - Dirac方程DA(x,a+Du)=B(x,Du)是A- Dirac方程DA(x,Du)=0和非齐次A-调和方程divA(x,▽u)=B(x,▽u)的重要推广.证明方程DA(x,a+Du)=B(x,Du)的弱解的Caccioppoli 估计. |
| 关 键 词： | Caccioppoli估计 A- Dirac方程 Clifford代数 |
The Caccioppoli estimate for the solution to the nonhomogenous A-Dirac equation |
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| BAO Ge-jun,CAO Zhen-hua,ZHU Hai-jing. The Caccioppoli estimate for the solution to the nonhomogenous A-Dirac equation[J]. Journal of Natural Science of Heilongjiang University, 2011, 28(5): 604-607,617 | |
| Authors: | BAO Ge-jun CAO Zhen-hua ZHU Hai-jing |
| Affiliation: | BAO Ge-jun1,CAO Zhen-hua2,ZHU Hai-jing3(1.Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China,2.Department of Mathematics,Jiangxi Normal University,Nanchang 330022,3.College of Mathematics and Physics,Shandong Institute of Light Industry,Ji'nan 250353,China) |
| Abstract: | The Caccioppoli estimates about the solution to the nonhomogeneous A - harmonic equation DA(x,a + Du) =B(x,Du),which is the generalization of A -Dirac equation DA(x,Du) =0 and the quasi - linear equation divA (x,▽ u) =B (x,▽ u),are investiagted. |
| Keywords: | Caccioppoli estimate A-Dirac equation clifford algebra |
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