EMIS ELibM Electronic Journals
Vol. 37(51), pp. 123-- (1985)

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On the construction of finite difference schemes approximating generalized solutions

E. \v Sili, B. Jovanovi\'c and L. Ivanovi\'c

Matemati\v cki fakultet, Beograd, Yugoslavia

Abstract: We consider Dirichlet's problem for Poisson's equation in $n$-dimensional Euclidean space assuming that the generalized solution belongs to the Sobelov space $W^{s,p}$, $1\leq s\leq 4$, $1Classification (MSC2000): 65N05; 65N10

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