Browsing by Author "Fantahun, Adane"

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    Sobolev Space and Application to Elliptic Partial Differential Equation
    (Addis Ababa University, 2011-02) Fantahun, Adane; Gedifd, Tsegaye (PhD)
    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