Browsing by Author "Gyau, Francis Kwabena"

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    Application of sobolev spaces to differential equations
    (2014-11-13) Gyau, Francis Kwabena
    This thesis de nes the Sobolev Space and provides certain properties using concepts from functional analysis and real analysis. These theories and properties are applied to solu-tions of some partial di erential equations. The concepts used here in nding solutions to di erential equation involve analytical properties like continuity, in nite di erentiability, continuous derivatives, e.t.c. Speci c examples of partial di erential equations are taken where the Existence and Uniqueness of their weak solutions are studied together with their Regularity and Recovery of their classical or strong solutions