Masters theses : Statistics
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Item Functional Analysis Based Methods on Existence and Uniqueness Problems for Partial Differential Equations(Al Neelain University, 2007-11) Um Kalthoum Suliman KanonaIn 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 me/thods, variation methods and energy integral method. We have illustrated the techniques with some examples.Item FUNCTIQN L N SIS EA§E@ QN EXISTEifi€E%fl% %NlQUENES§ Féfi PA§ik NTiAL(Alneelain University, 2007-11) Um Kalthoum Suliman KanonaA§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.Item FUNCTIQN L N SIS EA§E@ QN EXISTEifi€E%fl% %NlQUENES§ Féfi PA§ik NTiAL(Neelain University, 2007) Um Kalthoum Suliman KanonaA§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. \_