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Boundary Properties and Applications of the Differentiated Poisson Integral for Different Domains - Couverture rigide

Topuria, Sergo

 
9781606927045: Boundary Properties and Applications of the Differentiated Poisson Integral for Different Domains
Couverture rigide
ISBN 10 : 1606927043 ISBN 13 : 9781606927045
Editeur : Nova Science Publishers Inc, 2009

Synopsis

This monograph is devoted to the investigation of boundary properties of the differentiated Poisson integral. It is proved that the boundary properties of the differentiated Poisson integral for different types of domains (circle, sphere, half-plane, half-space, bicylinder) differ substantially from each other and depend on in what sense the integral density is differentiable. The theorems proven here are, in a definite sense, improvable. Relying on the obtained results, the Dirichlet problem is solved for a sphere and a half-space (of a any finite dimension) in the case where the boundary function is measurable and finite almost everywhere.

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Éditeur
Nova Science Publishers Inc
Date d'édition
2009
Langue
anglais
ISBN 10 
1606927043
ISBN 13 
9781606927045
Reliure
Relié
Nombre de pages
180
Coordonnées du fabricant
non disponible
Personne responsable
non disponible