A PRIORI BOUNDS ON DIFFERENCE QUOTIENTS OF SOLUTIONS TO SOME LINEAR UNIFORMLY ELLIPTIC DIFFERENCE EQUATIONS

被引:1
作者
MCALLISTER, GT
机构
[1] Center for the Application of Mathematics, Lehigh University, Bethlehem, 18015, Pennsylvania
关键词
D O I
10.1007/BF02165468
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Second order difference quotients of solutions to a class of linear uniformly elliptic difference Dirichlet problems are bounded in terms of quantities which depend on the coefficients of the operator, the inhomogenous term, the boundary values and the domain-which we take to be a rectangle. The results we obtain have theoretical and practical applications. © 1968 Springer-Verlag.
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页码:13 / +
页数:1
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