The generalized functions of Colombeau

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Date
1994-03-16
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Abstract
In 1984, Colombeau introduced a new concept of generalized functions which promises to play a fundamental role in the solution of non-linear partial differential equations and other problems. We study this new concept of Generalized Functions and how Colombeau applies it to solve non-linear partial differential equations and other problems some of which had proved intractable to existing methods.
Description
A thesis submitted to the Board of Postgraduate Studies, Kwame Nkrumah University of Science and Technology, Kumasi, in partial fulfilment of the requirement for the award of the Degree of Master of Science in Mathematics, 1994
Keywords
Algebra, Distribution, Generalized function, Moderate function, Null function, Coupled calculus, Classical, Associated, Generalized complex number
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