FUNCTIQN L N SIS EA§E@ QN EXISTEifi€E%fl% %NlQUENES§ Féfi PA§ik NTiAL

Abstract

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. \_