Boundary Properties & Applications of the Differentiated Poisson Integral for Different Domains
Book Details
Format
Hardback or Cased Book
ISBN-10
1606927043
ISBN-13
9781606927045
Publisher
Nova Science Publishers Inc
Imprint
Nova Science Publishers Inc
Country of Manufacture
US
Country of Publication
GB
Publication Date
Aug 10th, 2009
Print length
180 Pages
Weight
616 grams
Dimensions
26.60 x 18.70 x 1.80 cms
Product Classification:
Integral calculus & equationsIntegral calculus and equations
Ksh 34,400.00
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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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