Solutions of Elliptic Differentiial Operator
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Date
2011-01
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Addis Ababa University
Abstract
This paper is devoted to integral representation for solutions of elliptic differential operators. Given Ω an open bounded domain in Rn≥2, with a smooth boundary Ω, and an elliptic differential operator,Uis a function such that ∁) and is continuously differentiable function ,we show that the solution Ufor the given equationLU=F has an integral representation that can be derived from fundamental solution and Green’s
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Solutions of Elliptic Differentiial Operator