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Boundary Properties And Applications Of The Differentiated Poisson Integral For Different Domains Sergo Topuria

  • SKU: BELL-2344450
Boundary Properties And Applications Of The Differentiated Poisson Integral For Different Domains Sergo Topuria
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Boundary Properties And Applications Of The Differentiated Poisson Integral For Different Domains Sergo Topuria instant download after payment.

Publisher: Nova Science Pub Inc
File Extension: PDF
File size: 1.28 MB
Pages: 191
Author: Sergo Topuria
ISBN: 9781606927045, 1606927043
Language: English
Year: 2009

Product desciption

Boundary Properties And Applications Of The Differentiated Poisson Integral For Different Domains Sergo Topuria by Sergo Topuria 9781606927045, 1606927043 instant download after payment.

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 any finite dimension) in the case where the boundary function is measurable and finite almost everywhere.

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