Sobolev Space and Application to Elliptic Partial Differential Equation
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Date
2011-02
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Addis Ababa University
Abstract
This project work contains two parts: sobolev spaces and application to elliptic partial
differential equations. The theory of sobolev space has been originated by Russian
mathematics
S.L sobolev around 1938. These spaces were not introduced for some theoretical
purpose,
but for the need of the theory of partial differential equations.
This paper is then aimed at showing the applications of sobolev spaces defined in
spaces, solving Dirichlet problems for the poisson equations, and the Dirichlet problems
with spectral parameters
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Sobolev Space and Application