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A new approach to ill-posed evolution equations : C-regularized and B- bounded semigroups.

dc.contributor.advisorBanasiak, Jacek.
dc.contributor.authorSingh, Virath Sewnath.
dc.date.accessioned2011-09-13T10:06:26Z
dc.date.available2011-09-13T10:06:26Z
dc.date.created2001
dc.date.issued2001
dc.descriptionThesis (Ph.D.)-University of Natal, Durban, 2001.en
dc.description.abstractThe theory of semigroups of linear operators forms an integral part of Functional Analysis with substantial applications to many fields of the natural sciences. In this study we are concerned with the application to equations of mathematical physics. The theory of semigroups of bounded linear operators is closely related to the solvability of evolution equations in Banach spaces that model time dependent processes in nature. Well-posed evolution problems give rise to a semigroup of bounded linear operators. However, in many important and interesting cases the problem is ill-posed making it inaccessible to the classical semigroup theory. One way of dealing with this problem is to generalize the theory of semigroups. In this thesis we give an outline of the theory of two such generalizations, namely, C-regularized semigroups and B-bounded semigroups, with the inter-relations between them and show a number of applications to ill-posed problems.en
dc.identifier.urihttp://hdl.handle.net/10413/3638
dc.language.isoenen
dc.subjectEvolution equations.en
dc.subjectSemigroups of operators.en
dc.subjectLinear operators.en
dc.subjectTheses--Mathematics.en
dc.titleA new approach to ill-posed evolution equations : C-regularized and B- bounded semigroups.en
dc.typeThesisen

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