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Differential Equations with Involutions
eBook - Atlantis Briefs in Differential Equations
ISBN/EAN: 9789462391215
Umbreit-Nr.: 4332924
Sprache:
Englisch
Umfang: 0 S., 1.93 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 06.01.2016
Auflage: 1/2016
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- This monograph covers the existing results regarding Greens 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 Greens 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 Greens function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles.
- Kurztext
- 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.