Application of sobolev spaces to differential equations
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Date
2014-11-13
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Abstract
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
Description
A thesis presented to the Department of Mathematics,
in partial fulllment of the requirements for the degree of
Master of Philosophy
in
Pure Mathematics, 2014