A Study of the Use of the Fractional Laplacian in Extension Problems

dc.contributor.advisor	Sehba, B. F.
dc.contributor.advisor	Adu-Gyamfi, D.
dc.contributor.author	Akumaglo, C. K.
dc.contributor.other	University of Ghana, College of Basic and Applied Sciences, School of Physical and Mathematical Sciences, Department of Mathematics
dc.date.accessioned	2016-04-22T09:39:56Z
dc.date.accessioned	2017-10-13T17:38:08Z
dc.date.available	2016-04-22T09:39:56Z
dc.date.available	2017-10-13T17:38:08Z
dc.date.issued	2015-07
dc.description	Thesis (MPhil.) - University of Ghana, 2015
dc.description.abstract	We obtain the operator square root (􀀀D)1=2 of the Laplacian, called the fractional Laplacian, from the harmonic extension problem to the upper half space. It turns out that this operator maps the Dirichlet boundary condition to the Neumann condition. In this thesis, we extend the work of [2] by establishing the fractional Laplacian using semi-group methods and also providing proofs to certain claims and propositions in [2]. We also study some properties of the fractional Laplacian and relate it to an extension problem.	en_US
dc.format.extent	vi, 55p.
dc.identifier.uri	http://197.255.68.203/handle/123456789/8260
dc.language.iso	en	en_US
dc.publisher	University of Ghana	en_US
dc.rights.holder	University of Ghana
dc.title	A Study of the Use of the Fractional Laplacian in Extension Problems	en_US
dc.type	Thesis	en_US

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