(Neelain University, 2007) Um Kalthoum Suliman Kanona
A§STfiA€T"
In this study, we considered existence and
uniqueness problems for partial differential
equations. .
We used functional analysis techniques, where
a partial differential equation is regarded as an
operator on an appropriate Hilbert space. This
Hilbert space is in fact a Sobolev space.
In particular, we have dealt with two methods,
variation methods and energy integral method.
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We have illustrated the techniques with some
examples. \_