Bookcover of Necessary & Sufficient Condition for first Order Differential Operator
Booktitle:

Necessary & Sufficient Condition for first Order Differential Operator

LAP LAMBERT Academic Publishing (2015-03-25 )

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ISBN-13:

978-3-659-68706-8

ISBN-10:
3659687065
EAN:
9783659687068
Book language:
English
Blurb/Shorttext:
This book consists of five chapters. The first chapter is devoted to the historical background and introductory concepts. Partial complex differentiations in the classical sense and in the sense of Sobolev, generalized analytic functions, associated differential operators, associated spaces and interior estimates are introduced in Chapter II. The interior estimate for holomorphic functions in the supremum-norm is also obtained. In Chapter III, first, the concept of scales of Banach spaces are presented. In Chapter IV, initial value problems defined by Son and Tutschke [25].In the last chapter, an initial value problem for a first order evolution equation defined by N. Q. Hung [13] in the space of generalized regular functions in Quaternionic Analysis is discussed. Hung has proven only sufficient conditions for the related differential operators to be associated. We have obtained not only sufficient but also necessary conditions for the underlined differential operators to be associated [1].
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Usman Abbas Yakubu
Number of pages:
76
Published at:
2015-03-25
Stock:
Available
Category:
Mathematics
Price:
39.90 €
Keywords:
Initial Value Problem, associated operators, quaternionic analysis, Dirac operator

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