山东农业大学学报（自然科学版）2012，Vol.43Issue(4)：621-624,4.
一类耦合方程组弱解存在性证明
THE PROOF OF WEAK SOLUTIONS EXISTENCE A CLASS OF COUPLED EQUATION
摘要
Abstract
In the relevant conditions and the coupling equations with its boundary conditions were proposed as follow Ht + ▽ ×[a(x,u)▽H]=0 (*,t) ∈ QT (1,1) ut- ▽[k(u)Va] =r(u)1▽×H12 (x,t) ∈ QT (1,2) H(x,t) =o,u(x,t) =0 (x,t)∈αΩ×(0,T] (1,3)H(x,0)=H0(x),u(x,0)=u0(x) x∈ Ω (1,4) Where Qt=Ω×(0,T],Ω is a bounded domain, T>0,▽ =[e/ex1,e/ax2,e/ax3],H = (H1 ,H2,H3) ,H0(x) is the initial condition. In this paper,the shauder fixed point theorem was used to prove the existence of weak solu tion.关键词
耦合方程组/弱解/存在性/不等式Key words
Coupled equations/weak solutions/existence/inequality分类
农业科技引用本文复制引用
旷雨阳,陶从江..一类耦合方程组弱解存在性证明[J].山东农业大学学报（自然科学版）,2012,43(4):621-624,4.基金项目
贵州省科学技术基金项目,编号:2012GZ16677 （）
