The Solution of Embedding Problems in the Framework of GAPs with Applications on Nonlinear PDEs
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-46, 46 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-15
Country of Publication
Egypt
No. of Pages
46
Main Subjects
Abstract EN
The paper presents a special class of embedding problems whoes solutions are important for the explicit solution of nonlinear partial differential equations.
It is shown that these embedding problems are solvable and explicit solutions are given.
Not only are the solutions new but also the mathematical framework of their construction which is defined by a nonstandard function theory built over nonstandard algebraical structures, denoted as “GAPs”.
These GAPs must not be neither associative nor division algebras, but the corresponding function theories built over them preserve the most important symmetries from the classical complex function theory in a generalized form: a generalization of the Cauchy-Riemannian differential equations exists as well as a generalization of the classical Cauchy Integral Theorem.
American Psychological Association (APA)
Starkl, Reinhard. 2010. The Solution of Embedding Problems in the Framework of GAPs with Applications on Nonlinear PDEs. Advances in Mathematical Physics،Vol. 2009, no. 2009, pp.1-46.
https://search.emarefa.net/detail/BIM-447219
Modern Language Association (MLA)
Starkl, Reinhard. The Solution of Embedding Problems in the Framework of GAPs with Applications on Nonlinear PDEs. Advances in Mathematical Physics No. 2009 (2009), pp.1-46.
https://search.emarefa.net/detail/BIM-447219
American Medical Association (AMA)
Starkl, Reinhard. The Solution of Embedding Problems in the Framework of GAPs with Applications on Nonlinear PDEs. Advances in Mathematical Physics. 2010. Vol. 2009, no. 2009, pp.1-46.
https://search.emarefa.net/detail/BIM-447219
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447219