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Differential Equations with Involutions
Atlantis Studies in Differential Equations 5, Atlantis Briefs in Differential Equations 2
ISBN/EAN: 9789462391208
Umbreit-Nr.: 7847425
Sprache:
Englisch
Umfang: xiv, 154 S., 5 s/w Illustr., 1 farbige Illustr., 1
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 15.01.2016
Auflage: 1/2016
- Zusatztext
- This monograph covers the existing results regarding Green's functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Green's functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties. Obtaining a Green's function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles.
- Kurztext
- First monograph on the subjectMany examples to illustrate the theoryOpen problems to work onIncludes supplementary material: sn.pub/extras