黑龙江大学自然科学学报
黑龍江大學自然科學學報
흑룡강대학자연과학학보
JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
2011年
5期
604-607,617
,共5页
Caccioppoli估计%A- Dirac方程%Clifford代数
Caccioppoli估計%A- Dirac方程%Clifford代數
Caccioppoli고계%A- Dirac방정%Clifford대수
Caccioppoli estimate%A-Dirac equation%clifford algebra
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.
非齊次A - Dirac方程DA(x,a+Du)=B(x,Du)是A- Dirac方程DA(x,Du)=0和非齊次A-調和方程divA(x,▽u)=B(x,▽u)的重要推廣.證明方程DA(x,a+Du)=B(x,Du)的弱解的Caccioppoli 估計.
비제차A - Dirac방정DA(x,a+Du)=B(x,Du)시A- Dirac방정DA(x,Du)=0화비제차A-조화방정divA(x,▽u)=B(x,▽u)적중요추엄.증명방정DA(x,a+Du)=B(x,Du)적약해적Caccioppoli 고계.
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.
