(Alneelain University, 2007-11) 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.
We have illustrated the techniques with some
examples.
